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Finding the Fourth Proportional to 42.49, 58.64 and 24.08

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Solution

The fourth proportional to 42.49, 58.64 and 24.08 is: 33.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.49 : 58.64 = 24.08 : x
  2. Step 2: Convert to fraction form
    42.49/58.64 = 24.08/x
  3. Step 3: Cross multiply
    42.49x = 58.64 × 24.08
  4. Step 4: Simplify right side
    42.49x = 1,411.70
  5. Step 5: Solve for x
    x = 1,411.70/42.49
  6. Step 6: Final answer
    x = 33.23

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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.