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Finding the Fourth Proportional to 60.46, 90.64 and 39.13

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Solution

The fourth proportional to 60.46, 90.64 and 39.13 is: 58.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.46 : 90.64 = 39.13 : x
  2. Step 2: Convert to fraction form
    60.46/90.64 = 39.13/x
  3. Step 3: Cross multiply
    60.46x = 90.64 × 39.13
  4. Step 4: Simplify right side
    60.46x = 3,546.74
  5. Step 5: Solve for x
    x = 3,546.74/60.46
  6. Step 6: Final answer
    x = 58.66

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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.