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Finding the Fourth Proportional to 58.74, 87.62 and 51.45

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Solution

The fourth proportional to 58.74, 87.62 and 51.45 is: 76.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.74 : 87.62 = 51.45 : x
  2. Step 2: Convert to fraction form
    58.74/87.62 = 51.45/x
  3. Step 3: Cross multiply
    58.74x = 87.62 × 51.45
  4. Step 4: Simplify right side
    58.74x = 4,508.05
  5. Step 5: Solve for x
    x = 4,508.05/58.74
  6. Step 6: Final answer
    x = 76.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.