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Finding the Fourth Proportional to 85.71, 117.54 and 85.31

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Solution

The fourth proportional to 85.71, 117.54 and 85.31 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 117.54 = 85.31 : x
  2. Step 2: Convert to fraction form
    85.71/117.54 = 85.31/x
  3. Step 3: Cross multiply
    85.71x = 117.54 × 85.31
  4. Step 4: Simplify right side
    85.71x = 10,027.34
  5. Step 5: Solve for x
    x = 10,027.34/85.71
  6. Step 6: Final answer
    x = 116.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.