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Finding the Fourth Proportional to 101.66, 152.47 and 31.31

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Solution

The fourth proportional to 101.66, 152.47 and 31.31 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 152.47 = 31.31 : x
  2. Step 2: Convert to fraction form
    101.66/152.47 = 31.31/x
  3. Step 3: Cross multiply
    101.66x = 152.47 × 31.31
  4. Step 4: Simplify right side
    101.66x = 4,773.00
  5. Step 5: Solve for x
    x = 4,773.00/101.66
  6. Step 6: Final answer
    x = 46.95

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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.