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Finding the Fourth Proportional to 99.48, 148.03 and 99.32

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Solution

The fourth proportional to 99.48, 148.03 and 99.32 is: 147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 148.03 = 99.32 : x
  2. Step 2: Convert to fraction form
    99.48/148.03 = 99.32/x
  3. Step 3: Cross multiply
    99.48x = 148.03 × 99.32
  4. Step 4: Simplify right side
    99.48x = 14,702.34
  5. Step 5: Solve for x
    x = 14,702.34/99.48
  6. Step 6: Final answer
    x = 147.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.