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Finding the Fourth Proportional to 31.77, 47.52 and 24.12

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Solution

The fourth proportional to 31.77, 47.52 and 24.12 is: 36.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.77 : 47.52 = 24.12 : x
  2. Step 2: Convert to fraction form
    31.77/47.52 = 24.12/x
  3. Step 3: Cross multiply
    31.77x = 47.52 × 24.12
  4. Step 4: Simplify right side
    31.77x = 1,146.18
  5. Step 5: Solve for x
    x = 1,146.18/31.77
  6. Step 6: Final answer
    x = 36.08

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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.