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Finding the Fourth Proportional to 99.31, 149.01 and 48.01

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Solution

The fourth proportional to 99.31, 149.01 and 48.01 is: 72.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.31 : 149.01 = 48.01 : x
  2. Step 2: Convert to fraction form
    99.31/149.01 = 48.01/x
  3. Step 3: Cross multiply
    99.31x = 149.01 × 48.01
  4. Step 4: Simplify right side
    99.31x = 7,153.97
  5. Step 5: Solve for x
    x = 7,153.97/99.31
  6. Step 6: Final answer
    x = 72.04

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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.