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Finding the Fourth Proportional to 59.65, 82.35 and 42.19

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Solution

The fourth proportional to 59.65, 82.35 and 42.19 is: 58.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.65 : 82.35 = 42.19 : x
  2. Step 2: Convert to fraction form
    59.65/82.35 = 42.19/x
  3. Step 3: Cross multiply
    59.65x = 82.35 × 42.19
  4. Step 4: Simplify right side
    59.65x = 3,474.35
  5. Step 5: Solve for x
    x = 3,474.35/59.65
  6. Step 6: Final answer
    x = 58.25

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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.