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Finding the Fourth Proportional to 35.49, 48.93 and 23.22

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Solution

The fourth proportional to 35.49, 48.93 and 23.22 is: 32.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.49 : 48.93 = 23.22 : x
  2. Step 2: Convert to fraction form
    35.49/48.93 = 23.22/x
  3. Step 3: Cross multiply
    35.49x = 48.93 × 23.22
  4. Step 4: Simplify right side
    35.49x = 1,136.15
  5. Step 5: Solve for x
    x = 1,136.15/35.49
  6. Step 6: Final answer
    x = 32.01

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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.