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Finding the Fourth Proportional to 35.84, 54.04 and 32.16

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Solution

The fourth proportional to 35.84, 54.04 and 32.16 is: 48.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.84 : 54.04 = 32.16 : x
  2. Step 2: Convert to fraction form
    35.84/54.04 = 32.16/x
  3. Step 3: Cross multiply
    35.84x = 54.04 × 32.16
  4. Step 4: Simplify right side
    35.84x = 1,737.93
  5. Step 5: Solve for x
    x = 1,737.93/35.84
  6. Step 6: Final answer
    x = 48.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.