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Finding the Fourth Proportional to 59.65, 89.52 and 30.75

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Solution

The fourth proportional to 59.65, 89.52 and 30.75 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.65 : 89.52 = 30.75 : x
  2. Step 2: Convert to fraction form
    59.65/89.52 = 30.75/x
  3. Step 3: Cross multiply
    59.65x = 89.52 × 30.75
  4. Step 4: Simplify right side
    59.65x = 2,752.74
  5. Step 5: Solve for x
    x = 2,752.74/59.65
  6. Step 6: Final answer
    x = 46.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.