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Finding the Fourth Proportional to 102.28, 153.45 and 30.14

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Solution

The fourth proportional to 102.28, 153.45 and 30.14 is: 45.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 153.45 = 30.14 : x
  2. Step 2: Convert to fraction form
    102.28/153.45 = 30.14/x
  3. Step 3: Cross multiply
    102.28x = 153.45 × 30.14
  4. Step 4: Simplify right side
    102.28x = 4,624.99
  5. Step 5: Solve for x
    x = 4,624.99/102.28
  6. Step 6: Final answer
    x = 45.22

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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.