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Finding the Fourth Proportional to 32.16, 48.23 and 10.49

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Solution

The fourth proportional to 32.16, 48.23 and 10.49 is: 15.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.16 : 48.23 = 10.49 : x
  2. Step 2: Convert to fraction form
    32.16/48.23 = 10.49/x
  3. Step 3: Cross multiply
    32.16x = 48.23 × 10.49
  4. Step 4: Simplify right side
    32.16x = 505.79
  5. Step 5: Solve for x
    x = 505.79/32.16
  6. Step 6: Final answer
    x = 15.73

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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.