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Finding the Fourth Proportional to 156.95, 235.47 and 96.12

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Solution

The fourth proportional to 156.95, 235.47 and 96.12 is: 144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.95 : 235.47 = 96.12 : x
  2. Step 2: Convert to fraction form
    156.95/235.47 = 96.12/x
  3. Step 3: Cross multiply
    156.95x = 235.47 × 96.12
  4. Step 4: Simplify right side
    156.95x = 22,633.38
  5. Step 5: Solve for x
    x = 22,633.38/156.95
  6. Step 6: Final answer
    x = 144.21

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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.