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Finding the Fourth Proportional to 374.97, 562.45 and 101.09

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Solution

The fourth proportional to 374.97, 562.45 and 101.09 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.97 : 562.45 = 101.09 : x
  2. Step 2: Convert to fraction form
    374.97/562.45 = 101.09/x
  3. Step 3: Cross multiply
    374.97x = 562.45 × 101.09
  4. Step 4: Simplify right side
    374.97x = 56,856.61
  5. Step 5: Solve for x
    x = 56,856.61/374.97
  6. Step 6: Final answer
    x = 151.63

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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.