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Finding the Fourth Proportional to 84.86, 117.06 and 53.82

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Solution

The fourth proportional to 84.86, 117.06 and 53.82 is: 74.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.86 : 117.06 = 53.82 : x
  2. Step 2: Convert to fraction form
    84.86/117.06 = 53.82/x
  3. Step 3: Cross multiply
    84.86x = 117.06 × 53.82
  4. Step 4: Simplify right side
    84.86x = 6,300.17
  5. Step 5: Solve for x
    x = 6,300.17/84.86
  6. Step 6: Final answer
    x = 74.24

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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.