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Finding the Fourth Proportional to 65.32, 90.12 and 40.75

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Solution

The fourth proportional to 65.32, 90.12 and 40.75 is: 56.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 90.12 = 40.75 : x
  2. Step 2: Convert to fraction form
    65.32/90.12 = 40.75/x
  3. Step 3: Cross multiply
    65.32x = 90.12 × 40.75
  4. Step 4: Simplify right side
    65.32x = 3,672.39
  5. Step 5: Solve for x
    x = 3,672.39/65.32
  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.