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Finding the Fourth Proportional to 15.86, 23.78 and 9.77

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Solution

The fourth proportional to 15.86, 23.78 and 9.77 is: 14.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.86 : 23.78 = 9.77 : x
  2. Step 2: Convert to fraction form
    15.86/23.78 = 9.77/x
  3. Step 3: Cross multiply
    15.86x = 23.78 × 9.77
  4. Step 4: Simplify right side
    15.86x = 232.31
  5. Step 5: Solve for x
    x = 232.31/15.86
  6. Step 6: Final answer
    x = 14.65

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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.