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Finding the Fourth Proportional to 106.17, 159.38 and 77.46

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Solution

The fourth proportional to 106.17, 159.38 and 77.46 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.17 : 159.38 = 77.46 : x
  2. Step 2: Convert to fraction form
    106.17/159.38 = 77.46/x
  3. Step 3: Cross multiply
    106.17x = 159.38 × 77.46
  4. Step 4: Simplify right side
    106.17x = 12,345.19
  5. Step 5: Solve for x
    x = 12,345.19/106.17
  6. Step 6: Final answer
    x = 116.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.