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Finding the Fourth Proportional to 155.86, 233.83 and 47.64

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Solution

The fourth proportional to 155.86, 233.83 and 47.64 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.86 : 233.83 = 47.64 : x
  2. Step 2: Convert to fraction form
    155.86/233.83 = 47.64/x
  3. Step 3: Cross multiply
    155.86x = 233.83 × 47.64
  4. Step 4: Simplify right side
    155.86x = 11,139.66
  5. Step 5: Solve for x
    x = 11,139.66/155.86
  6. Step 6: Final answer
    x = 71.47

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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.