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Finding the Fourth Proportional to 77.76, 107.16 and 51.53

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Solution

The fourth proportional to 77.76, 107.16 and 51.53 is: 71.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 107.16 = 51.53 : x
  2. Step 2: Convert to fraction form
    77.76/107.16 = 51.53/x
  3. Step 3: Cross multiply
    77.76x = 107.16 × 51.53
  4. Step 4: Simplify right side
    77.76x = 5,521.42
  5. Step 5: Solve for x
    x = 5,521.42/77.76
  6. Step 6: Final answer
    x = 71.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.