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Finding the Fourth Proportional to 58.60, 80.82 and 42.19

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Solution

The fourth proportional to 58.60, 80.82 and 42.19 is: 58.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.60 : 80.82 = 42.19 : x
  2. Step 2: Convert to fraction form
    58.60/80.82 = 42.19/x
  3. Step 3: Cross multiply
    58.60x = 80.82 × 42.19
  4. Step 4: Simplify right side
    58.60x = 3,409.75
  5. Step 5: Solve for x
    x = 3,409.75/58.60
  6. Step 6: Final answer
    x = 58.19

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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.