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Finding the Fourth Proportional to 42.57, 58.75 and 24.15

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Solution

The fourth proportional to 42.57, 58.75 and 24.15 is: 33.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.75 = 24.15 : x
  2. Step 2: Convert to fraction form
    42.57/58.75 = 24.15/x
  3. Step 3: Cross multiply
    42.57x = 58.75 × 24.15
  4. Step 4: Simplify right side
    42.57x = 1,419.02
  5. Step 5: Solve for x
    x = 1,419.02/42.57
  6. Step 6: Final answer
    x = 33.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.