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Finding the Fourth Proportional to 84.90, 117.18 and 53.41

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Solution

The fourth proportional to 84.90, 117.18 and 53.41 is: 73.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 117.18 = 53.41 : x
  2. Step 2: Convert to fraction form
    84.90/117.18 = 53.41/x
  3. Step 3: Cross multiply
    84.90x = 117.18 × 53.41
  4. Step 4: Simplify right side
    84.90x = 6,258.58
  5. Step 5: Solve for x
    x = 6,258.58/84.90
  6. Step 6: Final answer
    x = 73.72

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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.