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Finding the Fourth Proportional to 39.06, 53.55 and 39.02

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Solution

The fourth proportional to 39.06, 53.55 and 39.02 is: 53.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.06 : 53.55 = 39.02 : x
  2. Step 2: Convert to fraction form
    39.06/53.55 = 39.02/x
  3. Step 3: Cross multiply
    39.06x = 53.55 × 39.02
  4. Step 4: Simplify right side
    39.06x = 2,089.25
  5. Step 5: Solve for x
    x = 2,089.25/39.06
  6. Step 6: Final answer
    x = 53.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.