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Finding the Fourth Proportional to 76.84, 114.59 and 76.16

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Solution

The fourth proportional to 76.84, 114.59 and 76.16 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 114.59 = 76.16 : x
  2. Step 2: Convert to fraction form
    76.84/114.59 = 76.16/x
  3. Step 3: Cross multiply
    76.84x = 114.59 × 76.16
  4. Step 4: Simplify right side
    76.84x = 8,726.58
  5. Step 5: Solve for x
    x = 8,726.58/76.84
  6. Step 6: Final answer
    x = 113.56

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