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Finding the Fourth Proportional to 45.17, 62.35 and 35.83

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Solution

The fourth proportional to 45.17, 62.35 and 35.83 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.17 : 62.35 = 35.83 : x
  2. Step 2: Convert to fraction form
    45.17/62.35 = 35.83/x
  3. Step 3: Cross multiply
    45.17x = 62.35 × 35.83
  4. Step 4: Simplify right side
    45.17x = 2,234.00
  5. Step 5: Solve for x
    x = 2,234.00/45.17
  6. Step 6: Final answer
    x = 49.46

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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.