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Finding the Fourth Proportional to 46.02, 62.96 and 45.83

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Solution

The fourth proportional to 46.02, 62.96 and 45.83 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 62.96 = 45.83 : x
  2. Step 2: Convert to fraction form
    46.02/62.96 = 45.83/x
  3. Step 3: Cross multiply
    46.02x = 62.96 × 45.83
  4. Step 4: Simplify right side
    46.02x = 2,884.91
  5. Step 5: Solve for x
    x = 2,884.91/46.02
  6. Step 6: Final answer
    x = 62.69

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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.