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Finding the Fourth Proportional to 102.27, 153.75 and 56.70

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Solution

The fourth proportional to 102.27, 153.75 and 56.70 is: 85.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 153.75 = 56.70 : x
  2. Step 2: Convert to fraction form
    102.27/153.75 = 56.70/x
  3. Step 3: Cross multiply
    102.27x = 153.75 × 56.70
  4. Step 4: Simplify right side
    102.27x = 8,717.63
  5. Step 5: Solve for x
    x = 8,717.63/102.27
  6. Step 6: Final answer
    x = 85.24

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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.