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Finding the Fourth Proportional to 61.52, 91.73 and 59.30

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Solution

The fourth proportional to 61.52, 91.73 and 59.30 is: 88.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 91.73 = 59.30 : x
  2. Step 2: Convert to fraction form
    61.52/91.73 = 59.30/x
  3. Step 3: Cross multiply
    61.52x = 91.73 × 59.30
  4. Step 4: Simplify right side
    61.52x = 5,439.28
  5. Step 5: Solve for x
    x = 5,439.28/61.52
  6. Step 6: Final answer
    x = 88.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.