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Finding the Fourth Proportional to 23.53, 35.14 and 22.83

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Solution

The fourth proportional to 23.53, 35.14 and 22.83 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.53 : 35.14 = 22.83 : x
  2. Step 2: Convert to fraction form
    23.53/35.14 = 22.83/x
  3. Step 3: Cross multiply
    23.53x = 35.14 × 22.83
  4. Step 4: Simplify right side
    23.53x = 802.25
  5. Step 5: Solve for x
    x = 802.25/23.53
  6. Step 6: Final answer
    x = 34.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.