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Finding the Fourth Proportional to 100.08, 137.88 and 70.88

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Solution

The fourth proportional to 100.08, 137.88 and 70.88 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.08 : 137.88 = 70.88 : x
  2. Step 2: Convert to fraction form
    100.08/137.88 = 70.88/x
  3. Step 3: Cross multiply
    100.08x = 137.88 × 70.88
  4. Step 4: Simplify right side
    100.08x = 9,772.93
  5. Step 5: Solve for x
    x = 9,772.93/100.08
  6. Step 6: Final answer
    x = 97.65

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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.