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Finding the Fourth Proportional to 87.78, 121.14 and 53.28

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Solution

The fourth proportional to 87.78, 121.14 and 53.28 is: 73.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.78 : 121.14 = 53.28 : x
  2. Step 2: Convert to fraction form
    87.78/121.14 = 53.28/x
  3. Step 3: Cross multiply
    87.78x = 121.14 × 53.28
  4. Step 4: Simplify right side
    87.78x = 6,454.34
  5. Step 5: Solve for x
    x = 6,454.34/87.78
  6. Step 6: Final answer
    x = 73.53

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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.