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Finding the Fourth Proportional to 84.58, 116.74 and 57.03

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Solution

The fourth proportional to 84.58, 116.74 and 57.03 is: 78.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 116.74 = 57.03 : x
  2. Step 2: Convert to fraction form
    84.58/116.74 = 57.03/x
  3. Step 3: Cross multiply
    84.58x = 116.74 × 57.03
  4. Step 4: Simplify right side
    84.58x = 6,657.32
  5. Step 5: Solve for x
    x = 6,657.32/84.58
  6. Step 6: Final answer
    x = 78.71

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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.