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Finding the Fourth Proportional to 159.98, 239.67 and 99.08

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Solution

The fourth proportional to 159.98, 239.67 and 99.08 is: 148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 239.67 = 99.08 : x
  2. Step 2: Convert to fraction form
    159.98/239.67 = 99.08/x
  3. Step 3: Cross multiply
    159.98x = 239.67 × 99.08
  4. Step 4: Simplify right side
    159.98x = 23,746.50
  5. Step 5: Solve for x
    x = 23,746.50/159.98
  6. Step 6: Final answer
    x = 148.43

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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.