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Finding the Fourth Proportional to 45.42, 67.74 and 45.06

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Solution

The fourth proportional to 45.42, 67.74 and 45.06 is: 67.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 67.74 = 45.06 : x
  2. Step 2: Convert to fraction form
    45.42/67.74 = 45.06/x
  3. Step 3: Cross multiply
    45.42x = 67.74 × 45.06
  4. Step 4: Simplify right side
    45.42x = 3,052.36
  5. Step 5: Solve for x
    x = 3,052.36/45.42
  6. Step 6: Final answer
    x = 67.20

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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.