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Finding the Fourth Proportional to 85.40, 117.60 and 85.13

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Solution

The fourth proportional to 85.40, 117.60 and 85.13 is: 117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.40 : 117.60 = 85.13 : x
  2. Step 2: Convert to fraction form
    85.40/117.60 = 85.13/x
  3. Step 3: Cross multiply
    85.40x = 117.60 × 85.13
  4. Step 4: Simplify right side
    85.40x = 10,010.70
  5. Step 5: Solve for x
    x = 10,010.70/85.40
  6. Step 6: Final answer
    x = 117.23

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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.