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Finding the Fourth Proportional to 84.75, 117.01 and 55.69

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Solution

The fourth proportional to 84.75, 117.01 and 55.69 is: 76.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 117.01 = 55.69 : x
  2. Step 2: Convert to fraction form
    84.75/117.01 = 55.69/x
  3. Step 3: Cross multiply
    84.75x = 117.01 × 55.69
  4. Step 4: Simplify right side
    84.75x = 6,516.29
  5. Step 5: Solve for x
    x = 6,516.29/84.75
  6. Step 6: Final answer
    x = 76.89

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