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Finding the Fourth Proportional to 85.83, 118.45 and 47.02

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Solution

The fourth proportional to 85.83, 118.45 and 47.02 is: 64.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.83 : 118.45 = 47.02 : x
  2. Step 2: Convert to fraction form
    85.83/118.45 = 47.02/x
  3. Step 3: Cross multiply
    85.83x = 118.45 × 47.02
  4. Step 4: Simplify right side
    85.83x = 5,568.99
  5. Step 5: Solve for x
    x = 5,568.99/85.83
  6. Step 6: Final answer
    x = 64.88

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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.