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Finding the Fourth Proportional to 58.68, 81.11 and 58.16

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Solution

The fourth proportional to 58.68, 81.11 and 58.16 is: 80.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.68 : 81.11 = 58.16 : x
  2. Step 2: Convert to fraction form
    58.68/81.11 = 58.16/x
  3. Step 3: Cross multiply
    58.68x = 81.11 × 58.16
  4. Step 4: Simplify right side
    58.68x = 4,717.36
  5. Step 5: Solve for x
    x = 4,717.36/58.68
  6. Step 6: Final answer
    x = 80.39

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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.