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Finding the Fourth Proportional to 160.06, 240.10 and 91.42

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Solution

The fourth proportional to 160.06, 240.10 and 91.42 is: 137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 240.10 = 91.42 : x
  2. Step 2: Convert to fraction form
    160.06/240.10 = 91.42/x
  3. Step 3: Cross multiply
    160.06x = 240.10 × 91.42
  4. Step 4: Simplify right side
    160.06x = 21,949.94
  5. Step 5: Solve for x
    x = 21,949.94/160.06
  6. Step 6: Final answer
    x = 137.14

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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.