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Finding the Fourth Proportional to 99.90, 137.84 and 58.46

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Solution

The fourth proportional to 99.90, 137.84 and 58.46 is: 80.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 137.84 = 58.46 : x
  2. Step 2: Convert to fraction form
    99.90/137.84 = 58.46/x
  3. Step 3: Cross multiply
    99.90x = 137.84 × 58.46
  4. Step 4: Simplify right side
    99.90x = 8,058.13
  5. Step 5: Solve for x
    x = 8,058.13/99.90
  6. Step 6: Final answer
    x = 80.66

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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.