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Finding the Fourth Proportional to 155.76, 233.66 and 103.59

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Solution

The fourth proportional to 155.76, 233.66 and 103.59 is: 155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.76 : 233.66 = 103.59 : x
  2. Step 2: Convert to fraction form
    155.76/233.66 = 103.59/x
  3. Step 3: Cross multiply
    155.76x = 233.66 × 103.59
  4. Step 4: Simplify right side
    155.76x = 24,204.84
  5. Step 5: Solve for x
    x = 24,204.84/155.76
  6. Step 6: Final answer
    x = 155.40

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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.