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Finding the Fourth Proportional to 99.53, 149.28 and 31.05

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Solution

The fourth proportional to 99.53, 149.28 and 31.05 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.53 : 149.28 = 31.05 : x
  2. Step 2: Convert to fraction form
    99.53/149.28 = 31.05/x
  3. Step 3: Cross multiply
    99.53x = 149.28 × 31.05
  4. Step 4: Simplify right side
    99.53x = 4,635.14
  5. Step 5: Solve for x
    x = 4,635.14/99.53
  6. Step 6: Final answer
    x = 46.57

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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.