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Finding the Fourth Proportional to 102.17, 153.24 and 30.02

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Solution

The fourth proportional to 102.17, 153.24 and 30.02 is: 45.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.17 : 153.24 = 30.02 : x
  2. Step 2: Convert to fraction form
    102.17/153.24 = 30.02/x
  3. Step 3: Cross multiply
    102.17x = 153.24 × 30.02
  4. Step 4: Simplify right side
    102.17x = 4,599.57
  5. Step 5: Solve for x
    x = 4,599.57/102.17
  6. Step 6: Final answer
    x = 45.02

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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.