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Finding the Fourth Proportional to 116.01, 159.84 and 77.13

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Solution

The fourth proportional to 116.01, 159.84 and 77.13 is: 106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.01 : 159.84 = 77.13 : x
  2. Step 2: Convert to fraction form
    116.01/159.84 = 77.13/x
  3. Step 3: Cross multiply
    116.01x = 159.84 × 77.13
  4. Step 4: Simplify right side
    116.01x = 12,328.46
  5. Step 5: Solve for x
    x = 12,328.46/116.01
  6. Step 6: Final answer
    x = 106.27

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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.