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Finding the Fourth Proportional to 59.08, 89.05 and 52.42

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Solution

The fourth proportional to 59.08, 89.05 and 52.42 is: 79.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.08 : 89.05 = 52.42 : x
  2. Step 2: Convert to fraction form
    59.08/89.05 = 52.42/x
  3. Step 3: Cross multiply
    59.08x = 89.05 × 52.42
  4. Step 4: Simplify right side
    59.08x = 4,668.00
  5. Step 5: Solve for x
    x = 4,668.00/59.08
  6. Step 6: Final answer
    x = 79.01

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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.