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Finding the Fourth Proportional to 100, 137.86 and 63.16

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Solution

The fourth proportional to 100, 137.86 and 63.16 is: 87.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 137.86 = 63.16 : x
  2. Step 2: Convert to fraction form
    100/137.86 = 63.16/x
  3. Step 3: Cross multiply
    100x = 137.86 × 63.16
  4. Step 4: Simplify right side
    100x = 8,707.24
  5. Step 5: Solve for x
    x = 8,707.24/100
  6. Step 6: Final answer
    x = 87.07

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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.