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Finding the Fourth Proportional to 43.07, 64.60 and 24.78

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Solution

The fourth proportional to 43.07, 64.60 and 24.78 is: 37.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.07 : 64.60 = 24.78 : x
  2. Step 2: Convert to fraction form
    43.07/64.60 = 24.78/x
  3. Step 3: Cross multiply
    43.07x = 64.60 × 24.78
  4. Step 4: Simplify right side
    43.07x = 1,600.97
  5. Step 5: Solve for x
    x = 1,600.97/43.07
  6. Step 6: Final answer
    x = 37.18

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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.