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Finding the Fourth Proportional to 116.58, 160.86 and 101.19

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Solution

The fourth proportional to 116.58, 160.86 and 101.19 is: 139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 160.86 = 101.19 : x
  2. Step 2: Convert to fraction form
    116.58/160.86 = 101.19/x
  3. Step 3: Cross multiply
    116.58x = 160.86 × 101.19
  4. Step 4: Simplify right side
    116.58x = 16,277.42
  5. Step 5: Solve for x
    x = 16,277.42/116.58
  6. Step 6: Final answer
    x = 139.62

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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.