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Finding the Fourth Proportional to 100.74, 151.13 and 46.64

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Solution

The fourth proportional to 100.74, 151.13 and 46.64 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.74 : 151.13 = 46.64 : x
  2. Step 2: Convert to fraction form
    100.74/151.13 = 46.64/x
  3. Step 3: Cross multiply
    100.74x = 151.13 × 46.64
  4. Step 4: Simplify right side
    100.74x = 7,049.02
  5. Step 5: Solve for x
    x = 7,049.02/100.74
  6. Step 6: Final answer
    x = 69.97

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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.