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Finding the Fourth Proportional to 103.32, 142.59 and 59.66

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Solution

The fourth proportional to 103.32, 142.59 and 59.66 is: 82.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 142.59 = 59.66 : x
  2. Step 2: Convert to fraction form
    103.32/142.59 = 59.66/x
  3. Step 3: Cross multiply
    103.32x = 142.59 × 59.66
  4. Step 4: Simplify right side
    103.32x = 8,506.92
  5. Step 5: Solve for x
    x = 8,506.92/103.32
  6. Step 6: Final answer
    x = 82.34

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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.