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Finding the Fourth Proportional to 45.23, 62.40 and 32.15

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Solution

The fourth proportional to 45.23, 62.40 and 32.15 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.23 : 62.40 = 32.15 : x
  2. Step 2: Convert to fraction form
    45.23/62.40 = 32.15/x
  3. Step 3: Cross multiply
    45.23x = 62.40 × 32.15
  4. Step 4: Simplify right side
    45.23x = 2,005.85
  5. Step 5: Solve for x
    x = 2,005.85/45.23
  6. Step 6: Final answer
    x = 44.35

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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.