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Finding the Fourth Proportional to 42.34, 63.54 and 23.07

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Solution

The fourth proportional to 42.34, 63.54 and 23.07 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.34 : 63.54 = 23.07 : x
  2. Step 2: Convert to fraction form
    42.34/63.54 = 23.07/x
  3. Step 3: Cross multiply
    42.34x = 63.54 × 23.07
  4. Step 4: Simplify right side
    42.34x = 1,465.87
  5. Step 5: Solve for x
    x = 1,465.87/42.34
  6. Step 6: Final answer
    x = 34.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.