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Finding the Fourth Proportional to 84.89, 117.02 and 53.79

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Solution

The fourth proportional to 84.89, 117.02 and 53.79 is: 74.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.89 : 117.02 = 53.79 : x
  2. Step 2: Convert to fraction form
    84.89/117.02 = 53.79/x
  3. Step 3: Cross multiply
    84.89x = 117.02 × 53.79
  4. Step 4: Simplify right side
    84.89x = 6,294.51
  5. Step 5: Solve for x
    x = 6,294.51/84.89
  6. Step 6: Final answer
    x = 74.15

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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.