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Finding the Fourth Proportional to 116.10, 160.21 and 65.62

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Solution

The fourth proportional to 116.10, 160.21 and 65.62 is: 90.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 160.21 = 65.62 : x
  2. Step 2: Convert to fraction form
    116.10/160.21 = 65.62/x
  3. Step 3: Cross multiply
    116.10x = 160.21 × 65.62
  4. Step 4: Simplify right side
    116.10x = 10,512.91
  5. Step 5: Solve for x
    x = 10,512.91/116.10
  6. Step 6: Final answer
    x = 90.55

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