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Finding the Fourth Proportional to 85.60, 117.94 and 59.68

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Solution

The fourth proportional to 85.60, 117.94 and 59.68 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.60 : 117.94 = 59.68 : x
  2. Step 2: Convert to fraction form
    85.60/117.94 = 59.68/x
  3. Step 3: Cross multiply
    85.60x = 117.94 × 59.68
  4. Step 4: Simplify right side
    85.60x = 7,038.66
  5. Step 5: Solve for x
    x = 7,038.66/85.60
  6. Step 6: Final answer
    x = 82.23

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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.