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Finding the Fourth Proportional to 58.18, 80.16 and 42.58

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Solution

The fourth proportional to 58.18, 80.16 and 42.58 is: 58.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.18 : 80.16 = 42.58 : x
  2. Step 2: Convert to fraction form
    58.18/80.16 = 42.58/x
  3. Step 3: Cross multiply
    58.18x = 80.16 × 42.58
  4. Step 4: Simplify right side
    58.18x = 3,413.74
  5. Step 5: Solve for x
    x = 3,413.74/58.18
  6. Step 6: Final answer
    x = 58.68

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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.