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Finding the Fourth Proportional to 62.04, 92.49 and 58.80

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Solution

The fourth proportional to 62.04, 92.49 and 58.80 is: 87.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.04 : 92.49 = 58.80 : x
  2. Step 2: Convert to fraction form
    62.04/92.49 = 58.80/x
  3. Step 3: Cross multiply
    62.04x = 92.49 × 58.80
  4. Step 4: Simplify right side
    62.04x = 5,438.41
  5. Step 5: Solve for x
    x = 5,438.41/62.04
  6. Step 6: Final answer
    x = 87.66

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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.