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Finding the Fourth Proportional to 59.49, 81.93 and 56.19

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Solution

The fourth proportional to 59.49, 81.93 and 56.19 is: 77.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.49 : 81.93 = 56.19 : x
  2. Step 2: Convert to fraction form
    59.49/81.93 = 56.19/x
  3. Step 3: Cross multiply
    59.49x = 81.93 × 56.19
  4. Step 4: Simplify right side
    59.49x = 4,603.65
  5. Step 5: Solve for x
    x = 4,603.65/59.49
  6. Step 6: Final answer
    x = 77.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.