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Finding the Fourth Proportional to 102.14, 153.24 and 30.00

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Solution

The fourth proportional to 102.14, 153.24 and 30.00 is: 45.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.24 = 30.00 : x
  2. Step 2: Convert to fraction form
    102.14/153.24 = 30.00/x
  3. Step 3: Cross multiply
    102.14x = 153.24 × 30.00
  4. Step 4: Simplify right side
    102.14x = 4,596.28
  5. Step 5: Solve for x
    x = 4,596.28/102.14
  6. Step 6: Final answer
    x = 45.00

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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.