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Finding the Fourth Proportional to 87.40, 114.51 and 87.40

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Solution

The fourth proportional to 87.40, 114.51 and 87.40 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.40 : 114.51 = 87.40 : x
  2. Step 2: Convert to fraction form
    87.40/114.51 = 87.40/x
  3. Step 3: Cross multiply
    87.40x = 114.51 × 87.40
  4. Step 4: Simplify right side
    87.40x = 10,008.17
  5. Step 5: Solve for x
    x = 10,008.17/87.40
  6. Step 6: Final answer
    x = 114.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.