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Finding the Fourth Proportional to 65.66, 90.59 and 40.75

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Solution

The fourth proportional to 65.66, 90.59 and 40.75 is: 56.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.66 : 90.59 = 40.75 : x
  2. Step 2: Convert to fraction form
    65.66/90.59 = 40.75/x
  3. Step 3: Cross multiply
    65.66x = 90.59 × 40.75
  4. Step 4: Simplify right side
    65.66x = 3,691.62
  5. Step 5: Solve for x
    x = 3,691.62/65.66
  6. Step 6: Final answer
    x = 56.22

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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.