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Finding the Fourth Proportional to 29.07, 43.61 and 24.75

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Solution

The fourth proportional to 29.07, 43.61 and 24.75 is: 37.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.07 : 43.61 = 24.75 : x
  2. Step 2: Convert to fraction form
    29.07/43.61 = 24.75/x
  3. Step 3: Cross multiply
    29.07x = 43.61 × 24.75
  4. Step 4: Simplify right side
    29.07x = 1,079.22
  5. Step 5: Solve for x
    x = 1,079.22/29.07
  6. Step 6: Final answer
    x = 37.13

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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.