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Finding the Fourth Proportional to 76.17, 113.57 and 76.07

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Solution

The fourth proportional to 76.17, 113.57 and 76.07 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 113.57 = 76.07 : x
  2. Step 2: Convert to fraction form
    76.17/113.57 = 76.07/x
  3. Step 3: Cross multiply
    76.17x = 113.57 × 76.07
  4. Step 4: Simplify right side
    76.17x = 8,639.27
  5. Step 5: Solve for x
    x = 8,639.27/76.17
  6. Step 6: Final answer
    x = 113.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.