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Finding the Fourth Proportional to 58.68, 81.05 and 54.23

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Solution

The fourth proportional to 58.68, 81.05 and 54.23 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.68 : 81.05 = 54.23 : x
  2. Step 2: Convert to fraction form
    58.68/81.05 = 54.23/x
  3. Step 3: Cross multiply
    58.68x = 81.05 × 54.23
  4. Step 4: Simplify right side
    58.68x = 4,394.67
  5. Step 5: Solve for x
    x = 4,394.67/58.68
  6. Step 6: Final answer
    x = 74.89

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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.