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Finding the Fourth Proportional to 31.80, 47.45 and 29.88

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Solution

The fourth proportional to 31.80, 47.45 and 29.88 is: 44.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.80 : 47.45 = 29.88 : x
  2. Step 2: Convert to fraction form
    31.80/47.45 = 29.88/x
  3. Step 3: Cross multiply
    31.80x = 47.45 × 29.88
  4. Step 4: Simplify right side
    31.80x = 1,417.66
  5. Step 5: Solve for x
    x = 1,417.66/31.80
  6. Step 6: Final answer
    x = 44.58

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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.