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Finding the Fourth Proportional to 102.57, 153.84 and 30.42

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Solution

The fourth proportional to 102.57, 153.84 and 30.42 is: 45.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.57 : 153.84 = 30.42 : x
  2. Step 2: Convert to fraction form
    102.57/153.84 = 30.42/x
  3. Step 3: Cross multiply
    102.57x = 153.84 × 30.42
  4. Step 4: Simplify right side
    102.57x = 4,679.81
  5. Step 5: Solve for x
    x = 4,679.81/102.57
  6. Step 6: Final answer
    x = 45.63

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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.