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Finding the Fourth Proportional to 116.60, 160.89 and 64.14

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Solution

The fourth proportional to 116.60, 160.89 and 64.14 is: 88.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 160.89 = 64.14 : x
  2. Step 2: Convert to fraction form
    116.60/160.89 = 64.14/x
  3. Step 3: Cross multiply
    116.60x = 160.89 × 64.14
  4. Step 4: Simplify right side
    116.60x = 10,319.48
  5. Step 5: Solve for x
    x = 10,319.48/116.60
  6. Step 6: Final answer
    x = 88.50

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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.