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Finding the Fourth Proportional to 85.24, 117.59 and 52.03

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Solution

The fourth proportional to 85.24, 117.59 and 52.03 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.24 : 117.59 = 52.03 : x
  2. Step 2: Convert to fraction form
    85.24/117.59 = 52.03/x
  3. Step 3: Cross multiply
    85.24x = 117.59 × 52.03
  4. Step 4: Simplify right side
    85.24x = 6,118.21
  5. Step 5: Solve for x
    x = 6,118.21/85.24
  6. Step 6: Final answer
    x = 71.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.