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Finding the Fourth Proportional to 85.11, 117.51 and 54.07

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Solution

The fourth proportional to 85.11, 117.51 and 54.07 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.11 : 117.51 = 54.07 : x
  2. Step 2: Convert to fraction form
    85.11/117.51 = 54.07/x
  3. Step 3: Cross multiply
    85.11x = 117.51 × 54.07
  4. Step 4: Simplify right side
    85.11x = 6,353.77
  5. Step 5: Solve for x
    x = 6,353.77/85.11
  6. Step 6: Final answer
    x = 74.65

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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.