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Finding the Fourth Proportional to 77.40, 102.24 and 77.40

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Solution

The fourth proportional to 77.40, 102.24 and 77.40 is: 102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.40 : 102.24 = 77.40 : x
  2. Step 2: Convert to fraction form
    77.40/102.24 = 77.40/x
  3. Step 3: Cross multiply
    77.40x = 102.24 × 77.40
  4. Step 4: Simplify right side
    77.40x = 7,913.38
  5. Step 5: Solve for x
    x = 7,913.38/77.40
  6. Step 6: Final answer
    x = 102.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.