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Finding the Fourth Proportional to 65.67, 90.64 and 41.14

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Solution

The fourth proportional to 65.67, 90.64 and 41.14 is: 56.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 90.64 = 41.14 : x
  2. Step 2: Convert to fraction form
    65.67/90.64 = 41.14/x
  3. Step 3: Cross multiply
    65.67x = 90.64 × 41.14
  4. Step 4: Simplify right side
    65.67x = 3,728.93
  5. Step 5: Solve for x
    x = 3,728.93/65.67
  6. Step 6: Final answer
    x = 56.78

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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.