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Finding the Fourth Proportional to 76.80, 101.40 and 76.80

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Solution

The fourth proportional to 76.80, 101.40 and 76.80 is: 101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 101.40 = 76.80 : x
  2. Step 2: Convert to fraction form
    76.80/101.40 = 76.80/x
  3. Step 3: Cross multiply
    76.80x = 101.40 × 76.80
  4. Step 4: Simplify right side
    76.80x = 7,787.52
  5. Step 5: Solve for x
    x = 7,787.52/76.80
  6. Step 6: Final answer
    x = 101.40

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