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Finding the Fourth Proportional to 153.54, 212.13 and 135.09

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Solution

The fourth proportional to 153.54, 212.13 and 135.09 is: 186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 212.13 = 135.09 : x
  2. Step 2: Convert to fraction form
    153.54/212.13 = 135.09/x
  3. Step 3: Cross multiply
    153.54x = 212.13 × 135.09
  4. Step 4: Simplify right side
    153.54x = 28,656.64
  5. Step 5: Solve for x
    x = 28,656.64/153.54
  6. Step 6: Final answer
    x = 186.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.