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Finding the Fourth Proportional to 42, 62.85 and 24.89

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Solution

The fourth proportional to 42, 62.85 and 24.89 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 62.85 = 24.89 : x
  2. Step 2: Convert to fraction form
    42/62.85 = 24.89/x
  3. Step 3: Cross multiply
    42x = 62.85 × 24.89
  4. Step 4: Simplify right side
    42x = 1,564.34
  5. Step 5: Solve for x
    x = 1,564.34/42
  6. Step 6: Final answer
    x = 37.25

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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.