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Finding the Fourth Proportional to 116.16, 160.32 and 76.86

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Solution

The fourth proportional to 116.16, 160.32 and 76.86 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.16 : 160.32 = 76.86 : x
  2. Step 2: Convert to fraction form
    116.16/160.32 = 76.86/x
  3. Step 3: Cross multiply
    116.16x = 160.32 × 76.86
  4. Step 4: Simplify right side
    116.16x = 12,322.20
  5. Step 5: Solve for x
    x = 12,322.20/116.16
  6. Step 6: Final answer
    x = 106.08

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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.