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Finding the Fourth Proportional to 102.68, 154.01 and 30.53

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Solution

The fourth proportional to 102.68, 154.01 and 30.53 is: 45.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.68 : 154.01 = 30.53 : x
  2. Step 2: Convert to fraction form
    102.68/154.01 = 30.53/x
  3. Step 3: Cross multiply
    102.68x = 154.01 × 30.53
  4. Step 4: Simplify right side
    102.68x = 4,701.93
  5. Step 5: Solve for x
    x = 4,701.93/102.68
  6. Step 6: Final answer
    x = 45.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.