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Finding the Fourth Proportional to 160.38, 240.53 and 69.08

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Solution

The fourth proportional to 160.38, 240.53 and 69.08 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.38 : 240.53 = 69.08 : x
  2. Step 2: Convert to fraction form
    160.38/240.53 = 69.08/x
  3. Step 3: Cross multiply
    160.38x = 240.53 × 69.08
  4. Step 4: Simplify right side
    160.38x = 16,614.26
  5. Step 5: Solve for x
    x = 16,614.26/160.38
  6. Step 6: Final answer
    x = 103.59

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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.