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Finding the Fourth Proportional to 85.73, 118.28 and 53.00

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Solution

The fourth proportional to 85.73, 118.28 and 53.00 is: 73.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.73 : 118.28 = 53.00 : x
  2. Step 2: Convert to fraction form
    85.73/118.28 = 53.00/x
  3. Step 3: Cross multiply
    85.73x = 118.28 × 53.00
  4. Step 4: Simplify right side
    85.73x = 6,268.38
  5. Step 5: Solve for x
    x = 6,268.38/85.73
  6. Step 6: Final answer
    x = 73.12

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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.