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Finding the Fourth Proportional to 116.53, 160.75 and 88.82

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Solution

The fourth proportional to 116.53, 160.75 and 88.82 is: 122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 160.75 = 88.82 : x
  2. Step 2: Convert to fraction form
    116.53/160.75 = 88.82/x
  3. Step 3: Cross multiply
    116.53x = 160.75 × 88.82
  4. Step 4: Simplify right side
    116.53x = 14,277.82
  5. Step 5: Solve for x
    x = 14,277.82/116.53
  6. Step 6: Final answer
    x = 122.52

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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.