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Finding the Fourth Proportional to 105.16, 145.14 and 63.71

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Solution

The fourth proportional to 105.16, 145.14 and 63.71 is: 87.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.16 : 145.14 = 63.71 : x
  2. Step 2: Convert to fraction form
    105.16/145.14 = 63.71/x
  3. Step 3: Cross multiply
    105.16x = 145.14 × 63.71
  4. Step 4: Simplify right side
    105.16x = 9,246.87
  5. Step 5: Solve for x
    x = 9,246.87/105.16
  6. Step 6: Final answer
    x = 87.93

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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.