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Finding the Fourth Proportional to 34.15, 51.02 and 32.95

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Solution

The fourth proportional to 34.15, 51.02 and 32.95 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.15 : 51.02 = 32.95 : x
  2. Step 2: Convert to fraction form
    34.15/51.02 = 32.95/x
  3. Step 3: Cross multiply
    34.15x = 51.02 × 32.95
  4. Step 4: Simplify right side
    34.15x = 1,681.11
  5. Step 5: Solve for x
    x = 1,681.11/34.15
  6. Step 6: Final answer
    x = 49.23

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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.