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Finding the Fourth Proportional to 156.05, 233.72 and 74.95

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Solution

The fourth proportional to 156.05, 233.72 and 74.95 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.05 : 233.72 = 74.95 : x
  2. Step 2: Convert to fraction form
    156.05/233.72 = 74.95/x
  3. Step 3: Cross multiply
    156.05x = 233.72 × 74.95
  4. Step 4: Simplify right side
    156.05x = 17,516.35
  5. Step 5: Solve for x
    x = 17,516.35/156.05
  6. Step 6: Final answer
    x = 112.25

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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.