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Finding the Fourth Proportional to 42.47, 58.62 and 24.06

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Solution

The fourth proportional to 42.47, 58.62 and 24.06 is: 33.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.47 : 58.62 = 24.06 : x
  2. Step 2: Convert to fraction form
    42.47/58.62 = 24.06/x
  3. Step 3: Cross multiply
    42.47x = 58.62 × 24.06
  4. Step 4: Simplify right side
    42.47x = 1,410.71
  5. Step 5: Solve for x
    x = 1,410.71/42.47
  6. Step 6: Final answer
    x = 33.22

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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.