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Finding the Fourth Proportional to 160.61, 240.69 and 91.99

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Solution

The fourth proportional to 160.61, 240.69 and 91.99 is: 137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.61 : 240.69 = 91.99 : x
  2. Step 2: Convert to fraction form
    160.61/240.69 = 91.99/x
  3. Step 3: Cross multiply
    160.61x = 240.69 × 91.99
  4. Step 4: Simplify right side
    160.61x = 22,140.61
  5. Step 5: Solve for x
    x = 22,140.61/160.61
  6. Step 6: Final answer
    x = 137.85

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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.