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Finding the Fourth Proportional to 15.73, 23.54 and 9.73

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Solution

The fourth proportional to 15.73, 23.54 and 9.73 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.73 : 23.54 = 9.73 : x
  2. Step 2: Convert to fraction form
    15.73/23.54 = 9.73/x
  3. Step 3: Cross multiply
    15.73x = 23.54 × 9.73
  4. Step 4: Simplify right side
    15.73x = 228.93
  5. Step 5: Solve for x
    x = 228.93/15.73
  6. Step 6: Final answer
    x = 14.55

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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.