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Finding the Fourth Proportional to 59.26, 88.42 and 57.94

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Solution

The fourth proportional to 59.26, 88.42 and 57.94 is: 86.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.26 : 88.42 = 57.94 : x
  2. Step 2: Convert to fraction form
    59.26/88.42 = 57.94/x
  3. Step 3: Cross multiply
    59.26x = 88.42 × 57.94
  4. Step 4: Simplify right side
    59.26x = 5,123.05
  5. Step 5: Solve for x
    x = 5,123.05/59.26
  6. Step 6: Final answer
    x = 86.45

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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.