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Finding the Fourth Proportional to 85.93, 129.02 and 54.01

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Solution

The fourth proportional to 85.93, 129.02 and 54.01 is: 81.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.93 : 129.02 = 54.01 : x
  2. Step 2: Convert to fraction form
    85.93/129.02 = 54.01/x
  3. Step 3: Cross multiply
    85.93x = 129.02 × 54.01
  4. Step 4: Simplify right side
    85.93x = 6,968.10
  5. Step 5: Solve for x
    x = 6,968.10/85.93
  6. Step 6: Final answer
    x = 81.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.