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Finding the Fourth Proportional to 85.30, 117.76 and 54.26

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Solution

The fourth proportional to 85.30, 117.76 and 54.26 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.30 : 117.76 = 54.26 : x
  2. Step 2: Convert to fraction form
    85.30/117.76 = 54.26/x
  3. Step 3: Cross multiply
    85.30x = 117.76 × 54.26
  4. Step 4: Simplify right side
    85.30x = 6,389.66
  5. Step 5: Solve for x
    x = 6,389.66/85.30
  6. Step 6: Final answer
    x = 74.91

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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.