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Finding the Fourth Proportional to 103.42, 155.28 and 65.14

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Solution

The fourth proportional to 103.42, 155.28 and 65.14 is: 97.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 155.28 = 65.14 : x
  2. Step 2: Convert to fraction form
    103.42/155.28 = 65.14/x
  3. Step 3: Cross multiply
    103.42x = 155.28 × 65.14
  4. Step 4: Simplify right side
    103.42x = 10,114.61
  5. Step 5: Solve for x
    x = 10,114.61/103.42
  6. Step 6: Final answer
    x = 97.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.