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Finding the Fourth Proportional to 32.93, 49.13 and 30.98

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Solution

The fourth proportional to 32.93, 49.13 and 30.98 is: 46.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.93 : 49.13 = 30.98 : x
  2. Step 2: Convert to fraction form
    32.93/49.13 = 30.98/x
  3. Step 3: Cross multiply
    32.93x = 49.13 × 30.98
  4. Step 4: Simplify right side
    32.93x = 1,522.06
  5. Step 5: Solve for x
    x = 1,522.06/32.93
  6. Step 6: Final answer
    x = 46.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.