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Finding the Fourth Proportional to 99.54, 149.23 and 48.13

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Solution

The fourth proportional to 99.54, 149.23 and 48.13 is: 72.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.54 : 149.23 = 48.13 : x
  2. Step 2: Convert to fraction form
    99.54/149.23 = 48.13/x
  3. Step 3: Cross multiply
    99.54x = 149.23 × 48.13
  4. Step 4: Simplify right side
    99.54x = 7,182.06
  5. Step 5: Solve for x
    x = 7,182.06/99.54
  6. Step 6: Final answer
    x = 72.15

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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.