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Finding the Fourth Proportional to 116.53, 160.82 and 64.08

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Solution

The fourth proportional to 116.53, 160.82 and 64.08 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 160.82 = 64.08 : x
  2. Step 2: Convert to fraction form
    116.53/160.82 = 64.08/x
  3. Step 3: Cross multiply
    116.53x = 160.82 × 64.08
  4. Step 4: Simplify right side
    116.53x = 10,304.86
  5. Step 5: Solve for x
    x = 10,304.86/116.53
  6. Step 6: Final answer
    x = 88.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.