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Finding the Fourth Proportional to 103.18, 142.42 and 64.40

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Solution

The fourth proportional to 103.18, 142.42 and 64.40 is: 88.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.18 : 142.42 = 64.40 : x
  2. Step 2: Convert to fraction form
    103.18/142.42 = 64.40/x
  3. Step 3: Cross multiply
    103.18x = 142.42 × 64.40
  4. Step 4: Simplify right side
    103.18x = 9,171.85
  5. Step 5: Solve for x
    x = 9,171.85/103.18
  6. Step 6: Final answer
    x = 88.89

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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.