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Finding the Fourth Proportional to 59.48, 89.64 and 52.78

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Solution

The fourth proportional to 59.48, 89.64 and 52.78 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.48 : 89.64 = 52.78 : x
  2. Step 2: Convert to fraction form
    59.48/89.64 = 52.78/x
  3. Step 3: Cross multiply
    59.48x = 89.64 × 52.78
  4. Step 4: Simplify right side
    59.48x = 4,731.20
  5. Step 5: Solve for x
    x = 4,731.20/59.48
  6. Step 6: Final answer
    x = 79.54

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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.