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Finding the Fourth Proportional to 30.40, 41.97 and 22.93

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Solution

The fourth proportional to 30.40, 41.97 and 22.93 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.40 : 41.97 = 22.93 : x
  2. Step 2: Convert to fraction form
    30.40/41.97 = 22.93/x
  3. Step 3: Cross multiply
    30.40x = 41.97 × 22.93
  4. Step 4: Simplify right side
    30.40x = 962.37
  5. Step 5: Solve for x
    x = 962.37/30.40
  6. Step 6: Final answer
    x = 31.66

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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.