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Finding the Fourth Proportional to 102.01, 152.81 and 67.69

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Solution

The fourth proportional to 102.01, 152.81 and 67.69 is: 101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 152.81 = 67.69 : x
  2. Step 2: Convert to fraction form
    102.01/152.81 = 67.69/x
  3. Step 3: Cross multiply
    102.01x = 152.81 × 67.69
  4. Step 4: Simplify right side
    102.01x = 10,343.71
  5. Step 5: Solve for x
    x = 10,343.71/102.01
  6. Step 6: Final answer
    x = 101.40

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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.