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Finding the Fourth Proportional to 58.23, 80.42 and 46.04

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Solution

The fourth proportional to 58.23, 80.42 and 46.04 is: 63.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.23 : 80.42 = 46.04 : x
  2. Step 2: Convert to fraction form
    58.23/80.42 = 46.04/x
  3. Step 3: Cross multiply
    58.23x = 80.42 × 46.04
  4. Step 4: Simplify right side
    58.23x = 3,702.54
  5. Step 5: Solve for x
    x = 3,702.54/58.23
  6. Step 6: Final answer
    x = 63.58

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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.