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Finding the Fourth Proportional to 84.85, 117.08 and 48

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Solution

The fourth proportional to 84.85, 117.08 and 48 is: 66.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 117.08 = 48 : x
  2. Step 2: Convert to fraction form
    84.85/117.08 = 48/x
  3. Step 3: Cross multiply
    84.85x = 117.08 × 48
  4. Step 4: Simplify right side
    84.85x = 5,619.84
  5. Step 5: Solve for x
    x = 5,619.84/84.85
  6. Step 6: Final answer
    x = 66.23

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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.