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Finding the Fourth Proportional to 102.06, 152.42 and 100.04

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Solution

The fourth proportional to 102.06, 152.42 and 100.04 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.42 = 100.04 : x
  2. Step 2: Convert to fraction form
    102.06/152.42 = 100.04/x
  3. Step 3: Cross multiply
    102.06x = 152.42 × 100.04
  4. Step 4: Simplify right side
    102.06x = 15,246.83
  5. Step 5: Solve for x
    x = 15,246.83/102.06
  6. Step 6: Final answer
    x = 149.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.