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Finding the Fourth Proportional to 59.36, 88.42 and 52.88

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Solution

The fourth proportional to 59.36, 88.42 and 52.88 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.36 : 88.42 = 52.88 : x
  2. Step 2: Convert to fraction form
    59.36/88.42 = 52.88/x
  3. Step 3: Cross multiply
    59.36x = 88.42 × 52.88
  4. Step 4: Simplify right side
    59.36x = 4,675.65
  5. Step 5: Solve for x
    x = 4,675.65/59.36
  6. Step 6: Final answer
    x = 78.77

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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.