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Finding the Fourth Proportional to 60.97, 91.33 and 52.26

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Solution

The fourth proportional to 60.97, 91.33 and 52.26 is: 78.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.97 : 91.33 = 52.26 : x
  2. Step 2: Convert to fraction form
    60.97/91.33 = 52.26/x
  3. Step 3: Cross multiply
    60.97x = 91.33 × 52.26
  4. Step 4: Simplify right side
    60.97x = 4,772.91
  5. Step 5: Solve for x
    x = 4,772.91/60.97
  6. Step 6: Final answer
    x = 78.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.