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Finding the Fourth Proportional to 75.32, 103.74 and 65

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Solution

The fourth proportional to 75.32, 103.74 and 65 is: 89.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.32 : 103.74 = 65 : x
  2. Step 2: Convert to fraction form
    75.32/103.74 = 65/x
  3. Step 3: Cross multiply
    75.32x = 103.74 × 65
  4. Step 4: Simplify right side
    75.32x = 6,743.10
  5. Step 5: Solve for x
    x = 6,743.10/75.32
  6. Step 6: Final answer
    x = 89.53

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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.