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Finding the Fourth Proportional to 103.25, 142.52 and 61.84

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Solution

The fourth proportional to 103.25, 142.52 and 61.84 is: 85.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.25 : 142.52 = 61.84 : x
  2. Step 2: Convert to fraction form
    103.25/142.52 = 61.84/x
  3. Step 3: Cross multiply
    103.25x = 142.52 × 61.84
  4. Step 4: Simplify right side
    103.25x = 8,812.77
  5. Step 5: Solve for x
    x = 8,812.77/103.25
  6. Step 6: Final answer
    x = 85.35

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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.