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Finding the Fourth Proportional to 102.48, 153.78 and 44.71

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Solution

The fourth proportional to 102.48, 153.78 and 44.71 is: 67.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 153.78 = 44.71 : x
  2. Step 2: Convert to fraction form
    102.48/153.78 = 44.71/x
  3. Step 3: Cross multiply
    102.48x = 153.78 × 44.71
  4. Step 4: Simplify right side
    102.48x = 6,875.50
  5. Step 5: Solve for x
    x = 6,875.50/102.48
  6. Step 6: Final answer
    x = 67.09

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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.