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Finding the Fourth Proportional to 62.58, 93.80 and 42.24

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Solution

The fourth proportional to 62.58, 93.80 and 42.24 is: 63.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.58 : 93.80 = 42.24 : x
  2. Step 2: Convert to fraction form
    62.58/93.80 = 42.24/x
  3. Step 3: Cross multiply
    62.58x = 93.80 × 42.24
  4. Step 4: Simplify right side
    62.58x = 3,962.11
  5. Step 5: Solve for x
    x = 3,962.11/62.58
  6. Step 6: Final answer
    x = 63.31

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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.