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Finding the Fourth Proportional to 32.10, 48.11 and 17.65

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Solution

The fourth proportional to 32.10, 48.11 and 17.65 is: 26.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.10 : 48.11 = 17.65 : x
  2. Step 2: Convert to fraction form
    32.10/48.11 = 17.65/x
  3. Step 3: Cross multiply
    32.10x = 48.11 × 17.65
  4. Step 4: Simplify right side
    32.10x = 849.14
  5. Step 5: Solve for x
    x = 849.14/32.10
  6. Step 6: Final answer
    x = 26.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.