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Finding the Fourth Proportional to 103.68, 143.10 and 60.02

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Solution

The fourth proportional to 103.68, 143.10 and 60.02 is: 82.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.68 : 143.10 = 60.02 : x
  2. Step 2: Convert to fraction form
    103.68/143.10 = 60.02/x
  3. Step 3: Cross multiply
    103.68x = 143.10 × 60.02
  4. Step 4: Simplify right side
    103.68x = 8,588.86
  5. Step 5: Solve for x
    x = 8,588.86/103.68
  6. Step 6: Final answer
    x = 82.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.