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Finding the Fourth Proportional to 58.80, 81.13 and 35.47

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Solution

The fourth proportional to 58.80, 81.13 and 35.47 is: 48.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.80 : 81.13 = 35.47 : x
  2. Step 2: Convert to fraction form
    58.80/81.13 = 35.47/x
  3. Step 3: Cross multiply
    58.80x = 81.13 × 35.47
  4. Step 4: Simplify right side
    58.80x = 2,877.82
  5. Step 5: Solve for x
    x = 2,877.82/58.80
  6. Step 6: Final answer
    x = 48.94

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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.