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Finding the Fourth Proportional to 45.52, 62.84 and 30.98

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Solution

The fourth proportional to 45.52, 62.84 and 30.98 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.52 : 62.84 = 30.98 : x
  2. Step 2: Convert to fraction form
    45.52/62.84 = 30.98/x
  3. Step 3: Cross multiply
    45.52x = 62.84 × 30.98
  4. Step 4: Simplify right side
    45.52x = 1,946.78
  5. Step 5: Solve for x
    x = 1,946.78/45.52
  6. Step 6: Final answer
    x = 42.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.