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Finding the Fourth Proportional to 102.42, 153.40 and 75.08

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Solution

The fourth proportional to 102.42, 153.40 and 75.08 is: 112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 153.40 = 75.08 : x
  2. Step 2: Convert to fraction form
    102.42/153.40 = 75.08/x
  3. Step 3: Cross multiply
    102.42x = 153.40 × 75.08
  4. Step 4: Simplify right side
    102.42x = 11,517.27
  5. Step 5: Solve for x
    x = 11,517.27/102.42
  6. Step 6: Final answer
    x = 112.45

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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.