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Finding the Fourth Proportional to 39.84, 55.08 and 32.16

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Solution

The fourth proportional to 39.84, 55.08 and 32.16 is: 44.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 55.08 = 32.16 : x
  2. Step 2: Convert to fraction form
    39.84/55.08 = 32.16/x
  3. Step 3: Cross multiply
    39.84x = 55.08 × 32.16
  4. Step 4: Simplify right side
    39.84x = 1,771.37
  5. Step 5: Solve for x
    x = 1,771.37/39.84
  6. Step 6: Final answer
    x = 44.46

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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.