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Finding the Fourth Proportional to 102.27, 152.50 and 99.37

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Solution

The fourth proportional to 102.27, 152.50 and 99.37 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 152.50 = 99.37 : x
  2. Step 2: Convert to fraction form
    102.27/152.50 = 99.37/x
  3. Step 3: Cross multiply
    102.27x = 152.50 × 99.37
  4. Step 4: Simplify right side
    102.27x = 15,153.93
  5. Step 5: Solve for x
    x = 15,153.93/102.27
  6. Step 6: Final answer
    x = 148.18

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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.