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Finding the Fourth Proportional to 85.38, 117.83 and 47.53

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Solution

The fourth proportional to 85.38, 117.83 and 47.53 is: 65.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 117.83 = 47.53 : x
  2. Step 2: Convert to fraction form
    85.38/117.83 = 47.53/x
  3. Step 3: Cross multiply
    85.38x = 117.83 × 47.53
  4. Step 4: Simplify right side
    85.38x = 5,600.55
  5. Step 5: Solve for x
    x = 5,600.55/85.38
  6. Step 6: Final answer
    x = 65.59

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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.