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Finding the Fourth Proportional to 85.95, 118.26 and 73.53

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Solution

The fourth proportional to 85.95, 118.26 and 73.53 is: 101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.95 : 118.26 = 73.53 : x
  2. Step 2: Convert to fraction form
    85.95/118.26 = 73.53/x
  3. Step 3: Cross multiply
    85.95x = 118.26 × 73.53
  4. Step 4: Simplify right side
    85.95x = 8,695.66
  5. Step 5: Solve for x
    x = 8,695.66/85.95
  6. Step 6: Final answer
    x = 101.17

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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.