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Finding the Fourth Proportional to 63.40, 87.53 and 45.94

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Solution

The fourth proportional to 63.40, 87.53 and 45.94 is: 63.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.40 : 87.53 = 45.94 : x
  2. Step 2: Convert to fraction form
    63.40/87.53 = 45.94/x
  3. Step 3: Cross multiply
    63.40x = 87.53 × 45.94
  4. Step 4: Simplify right side
    63.40x = 4,020.46
  5. Step 5: Solve for x
    x = 4,020.46/63.40
  6. Step 6: Final answer
    x = 63.41

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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.