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Finding the Fourth Proportional to 65.06, 89.78 and 41.74

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Solution

The fourth proportional to 65.06, 89.78 and 41.74 is: 57.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 89.78 = 41.74 : x
  2. Step 2: Convert to fraction form
    65.06/89.78 = 41.74/x
  3. Step 3: Cross multiply
    65.06x = 89.78 × 41.74
  4. Step 4: Simplify right side
    65.06x = 3,747.59
  5. Step 5: Solve for x
    x = 3,747.59/65.06
  6. Step 6: Final answer
    x = 57.60

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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.