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Finding the Fourth Proportional to 156.53, 215.81 and 107.33

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Solution

The fourth proportional to 156.53, 215.81 and 107.33 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 215.81 = 107.33 : x
  2. Step 2: Convert to fraction form
    156.53/215.81 = 107.33/x
  3. Step 3: Cross multiply
    156.53x = 215.81 × 107.33
  4. Step 4: Simplify right side
    156.53x = 23,162.28
  5. Step 5: Solve for x
    x = 23,162.28/156.53
  6. Step 6: Final answer
    x = 147.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.