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Finding the Fourth Proportional to 159.07, 238.60 and 61.53

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Solution

The fourth proportional to 159.07, 238.60 and 61.53 is: 92.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.07 : 238.60 = 61.53 : x
  2. Step 2: Convert to fraction form
    159.07/238.60 = 61.53/x
  3. Step 3: Cross multiply
    159.07x = 238.60 × 61.53
  4. Step 4: Simplify right side
    159.07x = 14,680.75
  5. Step 5: Solve for x
    x = 14,680.75/159.07
  6. Step 6: Final answer
    x = 92.29

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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.