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Finding the Fourth Proportional to 99.54, 148.69 and 79.19

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Solution

The fourth proportional to 99.54, 148.69 and 79.19 is: 118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.54 : 148.69 = 79.19 : x
  2. Step 2: Convert to fraction form
    99.54/148.69 = 79.19/x
  3. Step 3: Cross multiply
    99.54x = 148.69 × 79.19
  4. Step 4: Simplify right side
    99.54x = 11,774.93
  5. Step 5: Solve for x
    x = 11,774.93/99.54
  6. Step 6: Final answer
    x = 118.29

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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.