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Finding the Fourth Proportional to 153.64, 211.88 and 103.89

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Solution

The fourth proportional to 153.64, 211.88 and 103.89 is: 143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 211.88 = 103.89 : x
  2. Step 2: Convert to fraction form
    153.64/211.88 = 103.89/x
  3. Step 3: Cross multiply
    153.64x = 211.88 × 103.89
  4. Step 4: Simplify right side
    153.64x = 22,011.09
  5. Step 5: Solve for x
    x = 22,011.09/153.64
  6. Step 6: Final answer
    x = 143.26

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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.