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Finding the Fourth Proportional to 59.48, 88.68 and 52.60

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Solution

The fourth proportional to 59.48, 88.68 and 52.60 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.48 : 88.68 = 52.60 : x
  2. Step 2: Convert to fraction form
    59.48/88.68 = 52.60/x
  3. Step 3: Cross multiply
    59.48x = 88.68 × 52.60
  4. Step 4: Simplify right side
    59.48x = 4,664.57
  5. Step 5: Solve for x
    x = 4,664.57/59.48
  6. Step 6: Final answer
    x = 78.42

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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.