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Finding the Fourth Proportional to 59.32, 88.57 and 53.65

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Solution

The fourth proportional to 59.32, 88.57 and 53.65 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.32 : 88.57 = 53.65 : x
  2. Step 2: Convert to fraction form
    59.32/88.57 = 53.65/x
  3. Step 3: Cross multiply
    59.32x = 88.57 × 53.65
  4. Step 4: Simplify right side
    59.32x = 4,751.78
  5. Step 5: Solve for x
    x = 4,751.78/59.32
  6. Step 6: Final answer
    x = 80.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.