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Finding the Fourth Proportional to 32, 47.66 and 31.66

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Solution

The fourth proportional to 32, 47.66 and 31.66 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 47.66 = 31.66 : x
  2. Step 2: Convert to fraction form
    32/47.66 = 31.66/x
  3. Step 3: Cross multiply
    32x = 47.66 × 31.66
  4. Step 4: Simplify right side
    32x = 1,508.92
  5. Step 5: Solve for x
    x = 1,508.92/32
  6. Step 6: Final answer
    x = 47.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.