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Finding the Fourth Proportional to 116.08, 160.14 and 77.20

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Solution

The fourth proportional to 116.08, 160.14 and 77.20 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.08 : 160.14 = 77.20 : x
  2. Step 2: Convert to fraction form
    116.08/160.14 = 77.20/x
  3. Step 3: Cross multiply
    116.08x = 160.14 × 77.20
  4. Step 4: Simplify right side
    116.08x = 12,362.81
  5. Step 5: Solve for x
    x = 12,362.81/116.08
  6. Step 6: Final answer
    x = 106.50

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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.