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Finding the Fourth Proportional to 45.42, 62.70 and 40.80

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Solution

The fourth proportional to 45.42, 62.70 and 40.80 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 62.70 = 40.80 : x
  2. Step 2: Convert to fraction form
    45.42/62.70 = 40.80/x
  3. Step 3: Cross multiply
    45.42x = 62.70 × 40.80
  4. Step 4: Simplify right side
    45.42x = 2,558.16
  5. Step 5: Solve for x
    x = 2,558.16/45.42
  6. Step 6: Final answer
    x = 56.32

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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.