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Finding the Fourth Proportional to 103.53, 155.37 and 52.13

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Solution

The fourth proportional to 103.53, 155.37 and 52.13 is: 78.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.53 : 155.37 = 52.13 : x
  2. Step 2: Convert to fraction form
    103.53/155.37 = 52.13/x
  3. Step 3: Cross multiply
    103.53x = 155.37 × 52.13
  4. Step 4: Simplify right side
    103.53x = 8,100.02
  5. Step 5: Solve for x
    x = 8,100.02/103.53
  6. Step 6: Final answer
    x = 78.24

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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.