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Finding the Fourth Proportional to 45.40, 62.66 and 31.57

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Solution

The fourth proportional to 45.40, 62.66 and 31.57 is: 43.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.40 : 62.66 = 31.57 : x
  2. Step 2: Convert to fraction form
    45.40/62.66 = 31.57/x
  3. Step 3: Cross multiply
    45.40x = 62.66 × 31.57
  4. Step 4: Simplify right side
    45.40x = 1,978.18
  5. Step 5: Solve for x
    x = 1,978.18/45.40
  6. Step 6: Final answer
    x = 43.57

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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.