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Finding the Fourth Proportional to 156.01, 233.88 and 101.02

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Solution

The fourth proportional to 156.01, 233.88 and 101.02 is: 151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.01 : 233.88 = 101.02 : x
  2. Step 2: Convert to fraction form
    156.01/233.88 = 101.02/x
  3. Step 3: Cross multiply
    156.01x = 233.88 × 101.02
  4. Step 4: Simplify right side
    156.01x = 23,626.56
  5. Step 5: Solve for x
    x = 23,626.56/156.01
  6. Step 6: Final answer
    x = 151.44

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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.