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Finding the Fourth Proportional to 102.30, 153.35 and 38.13

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Solution

The fourth proportional to 102.30, 153.35 and 38.13 is: 57.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 153.35 = 38.13 : x
  2. Step 2: Convert to fraction form
    102.30/153.35 = 38.13/x
  3. Step 3: Cross multiply
    102.30x = 153.35 × 38.13
  4. Step 4: Simplify right side
    102.30x = 5,847.24
  5. Step 5: Solve for x
    x = 5,847.24/102.30
  6. Step 6: Final answer
    x = 57.16

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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.