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Finding the Fourth Proportional to 153.54, 211.90 and 91.40

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Solution

The fourth proportional to 153.54, 211.90 and 91.40 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 211.90 = 91.40 : x
  2. Step 2: Convert to fraction form
    153.54/211.90 = 91.40/x
  3. Step 3: Cross multiply
    153.54x = 211.90 × 91.40
  4. Step 4: Simplify right side
    153.54x = 19,367.66
  5. Step 5: Solve for x
    x = 19,367.66/153.54
  6. Step 6: Final answer
    x = 126.14

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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.