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Finding the Fourth Proportional to 102.40, 153.76 and 54.40

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Solution

The fourth proportional to 102.40, 153.76 and 54.40 is: 81.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 153.76 = 54.40 : x
  2. Step 2: Convert to fraction form
    102.40/153.76 = 54.40/x
  3. Step 3: Cross multiply
    102.40x = 153.76 × 54.40
  4. Step 4: Simplify right side
    102.40x = 8,364.54
  5. Step 5: Solve for x
    x = 8,364.54/102.40
  6. Step 6: Final answer
    x = 81.69

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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.