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Finding the Fourth Proportional to 85.93, 128.69 and 42.46

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Solution

The fourth proportional to 85.93, 128.69 and 42.46 is: 63.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.93 : 128.69 = 42.46 : x
  2. Step 2: Convert to fraction form
    85.93/128.69 = 42.46/x
  3. Step 3: Cross multiply
    85.93x = 128.69 × 42.46
  4. Step 4: Simplify right side
    85.93x = 5,464.18
  5. Step 5: Solve for x
    x = 5,464.18/85.93
  6. Step 6: Final answer
    x = 63.59

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