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Finding the Fourth Proportional to 60.57, 90.72 and 47.66

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Solution

The fourth proportional to 60.57, 90.72 and 47.66 is: 71.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.57 : 90.72 = 47.66 : x
  2. Step 2: Convert to fraction form
    60.57/90.72 = 47.66/x
  3. Step 3: Cross multiply
    60.57x = 90.72 × 47.66
  4. Step 4: Simplify right side
    60.57x = 4,323.26
  5. Step 5: Solve for x
    x = 4,323.26/60.57
  6. Step 6: Final answer
    x = 71.38

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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.