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Finding the Fourth Proportional to 59.30, 89.07 and 52.34

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Solution

The fourth proportional to 59.30, 89.07 and 52.34 is: 78.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.30 : 89.07 = 52.34 : x
  2. Step 2: Convert to fraction form
    59.30/89.07 = 52.34/x
  3. Step 3: Cross multiply
    59.30x = 89.07 × 52.34
  4. Step 4: Simplify right side
    59.30x = 4,661.92
  5. Step 5: Solve for x
    x = 4,661.92/59.30
  6. Step 6: Final answer
    x = 78.62

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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.