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Finding the Fourth Proportional to 62.04, 92.82 and 46.77

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Solution

The fourth proportional to 62.04, 92.82 and 46.77 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.04 : 92.82 = 46.77 : x
  2. Step 2: Convert to fraction form
    62.04/92.82 = 46.77/x
  3. Step 3: Cross multiply
    62.04x = 92.82 × 46.77
  4. Step 4: Simplify right side
    62.04x = 4,341.19
  5. Step 5: Solve for x
    x = 4,341.19/62.04
  6. Step 6: Final answer
    x = 69.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.