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Finding the Fourth Proportional to 155.86, 233.76 and 53.22

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Solution

The fourth proportional to 155.86, 233.76 and 53.22 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.86 : 233.76 = 53.22 : x
  2. Step 2: Convert to fraction form
    155.86/233.76 = 53.22/x
  3. Step 3: Cross multiply
    155.86x = 233.76 × 53.22
  4. Step 4: Simplify right side
    155.86x = 12,440.71
  5. Step 5: Solve for x
    x = 12,440.71/155.86
  6. Step 6: Final answer
    x = 79.82

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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.