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Finding the Fourth Proportional to 43.16, 59.56 and 24.74

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Solution

The fourth proportional to 43.16, 59.56 and 24.74 is: 34.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 59.56 = 24.74 : x
  2. Step 2: Convert to fraction form
    43.16/59.56 = 24.74/x
  3. Step 3: Cross multiply
    43.16x = 59.56 × 24.74
  4. Step 4: Simplify right side
    43.16x = 1,473.60
  5. Step 5: Solve for x
    x = 1,473.60/43.16
  6. Step 6: Final answer
    x = 34.15

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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.