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Finding the Fourth Proportional to 45.63, 67.88 and 45.47

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Solution

The fourth proportional to 45.63, 67.88 and 45.47 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.63 : 67.88 = 45.47 : x
  2. Step 2: Convert to fraction form
    45.63/67.88 = 45.47/x
  3. Step 3: Cross multiply
    45.63x = 67.88 × 45.47
  4. Step 4: Simplify right side
    45.63x = 3,086.28
  5. Step 5: Solve for x
    x = 3,086.28/45.63
  6. Step 6: Final answer
    x = 67.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.