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Finding the Fourth Proportional to 59.19, 89.19 and 49.27

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Solution

The fourth proportional to 59.19, 89.19 and 49.27 is: 74.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.19 : 89.19 = 49.27 : x
  2. Step 2: Convert to fraction form
    59.19/89.19 = 49.27/x
  3. Step 3: Cross multiply
    59.19x = 89.19 × 49.27
  4. Step 4: Simplify right side
    59.19x = 4,394.14
  5. Step 5: Solve for x
    x = 4,394.14/59.19
  6. Step 6: Final answer
    x = 74.24

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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.