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Finding the Fourth Proportional to 100.36, 138.18 and 88.53

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Solution

The fourth proportional to 100.36, 138.18 and 88.53 is: 121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 138.18 = 88.53 : x
  2. Step 2: Convert to fraction form
    100.36/138.18 = 88.53/x
  3. Step 3: Cross multiply
    100.36x = 138.18 × 88.53
  4. Step 4: Simplify right side
    100.36x = 12,233.08
  5. Step 5: Solve for x
    x = 12,233.08/100.36
  6. Step 6: Final answer
    x = 121.89

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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.