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Finding the Fourth Proportional to 159.98, 239.71 and 102.10

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Solution

The fourth proportional to 159.98, 239.71 and 102.10 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 239.71 = 102.10 : x
  2. Step 2: Convert to fraction form
    159.98/239.71 = 102.10/x
  3. Step 3: Cross multiply
    159.98x = 239.71 × 102.10
  4. Step 4: Simplify right side
    159.98x = 24,474.39
  5. Step 5: Solve for x
    x = 24,474.39/159.98
  6. Step 6: Final answer
    x = 152.98

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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.