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Finding the Fourth Proportional to 59.08, 89.06 and 53.14

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Solution

The fourth proportional to 59.08, 89.06 and 53.14 is: 80.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.08 : 89.06 = 53.14 : x
  2. Step 2: Convert to fraction form
    59.08/89.06 = 53.14/x
  3. Step 3: Cross multiply
    59.08x = 89.06 × 53.14
  4. Step 4: Simplify right side
    59.08x = 4,732.65
  5. Step 5: Solve for x
    x = 4,732.65/59.08
  6. Step 6: Final answer
    x = 80.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.