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Finding the Fourth Proportional to 99.02, 148.48 and 30.52

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Solution

The fourth proportional to 99.02, 148.48 and 30.52 is: 45.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.02 : 148.48 = 30.52 : x
  2. Step 2: Convert to fraction form
    99.02/148.48 = 30.52/x
  3. Step 3: Cross multiply
    99.02x = 148.48 × 30.52
  4. Step 4: Simplify right side
    99.02x = 4,531.61
  5. Step 5: Solve for x
    x = 4,531.61/99.02
  6. Step 6: Final answer
    x = 45.76

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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.