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Finding the Fourth Proportional to 100.64, 137.89 and 97.18

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Solution

The fourth proportional to 100.64, 137.89 and 97.18 is: 133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.64 : 137.89 = 97.18 : x
  2. Step 2: Convert to fraction form
    100.64/137.89 = 97.18/x
  3. Step 3: Cross multiply
    100.64x = 137.89 × 97.18
  4. Step 4: Simplify right side
    100.64x = 13,400.15
  5. Step 5: Solve for x
    x = 13,400.15/100.64
  6. Step 6: Final answer
    x = 133.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.