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Finding the Fourth Proportional to 156.27, 233.96 and 101.48

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Solution

The fourth proportional to 156.27, 233.96 and 101.48 is: 151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.27 : 233.96 = 101.48 : x
  2. Step 2: Convert to fraction form
    156.27/233.96 = 101.48/x
  3. Step 3: Cross multiply
    156.27x = 233.96 × 101.48
  4. Step 4: Simplify right side
    156.27x = 23,743.10
  5. Step 5: Solve for x
    x = 23,743.10/156.27
  6. Step 6: Final answer
    x = 151.94

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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.