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Finding the Fourth Proportional to 106.25, 159.27 and 52.14

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Solution

The fourth proportional to 106.25, 159.27 and 52.14 is: 78.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 159.27 = 52.14 : x
  2. Step 2: Convert to fraction form
    106.25/159.27 = 52.14/x
  3. Step 3: Cross multiply
    106.25x = 159.27 × 52.14
  4. Step 4: Simplify right side
    106.25x = 8,304.74
  5. Step 5: Solve for x
    x = 8,304.74/106.25
  6. Step 6: Final answer
    x = 78.17

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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.