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Finding the Fourth Proportional to 58.76, 80.76 and 45.80

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Solution

The fourth proportional to 58.76, 80.76 and 45.80 is: 62.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 80.76 = 45.80 : x
  2. Step 2: Convert to fraction form
    58.76/80.76 = 45.80/x
  3. Step 3: Cross multiply
    58.76x = 80.76 × 45.80
  4. Step 4: Simplify right side
    58.76x = 3,698.58
  5. Step 5: Solve for x
    x = 3,698.58/58.76
  6. Step 6: Final answer
    x = 62.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.