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Finding the Fourth Proportional to 39.99, 55.16 and 33.06

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Solution

The fourth proportional to 39.99, 55.16 and 33.06 is: 45.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.99 : 55.16 = 33.06 : x
  2. Step 2: Convert to fraction form
    39.99/55.16 = 33.06/x
  3. Step 3: Cross multiply
    39.99x = 55.16 × 33.06
  4. Step 4: Simplify right side
    39.99x = 1,823.42
  5. Step 5: Solve for x
    x = 1,823.42/39.99
  6. Step 6: Final answer
    x = 45.60

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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.