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Finding the Fourth Proportional to 85.71, 118.34 and 66.00

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Solution

The fourth proportional to 85.71, 118.34 and 66.00 is: 91.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 118.34 = 66.00 : x
  2. Step 2: Convert to fraction form
    85.71/118.34 = 66.00/x
  3. Step 3: Cross multiply
    85.71x = 118.34 × 66.00
  4. Step 4: Simplify right side
    85.71x = 7,810.97
  5. Step 5: Solve for x
    x = 7,810.97/85.71
  6. Step 6: Final answer
    x = 91.13

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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.