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Finding the Fourth Proportional to 156.88, 235.32 and 71.38

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Solution

The fourth proportional to 156.88, 235.32 and 71.38 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.88 : 235.32 = 71.38 : x
  2. Step 2: Convert to fraction form
    156.88/235.32 = 71.38/x
  3. Step 3: Cross multiply
    156.88x = 235.32 × 71.38
  4. Step 4: Simplify right side
    156.88x = 16,795.61
  5. Step 5: Solve for x
    x = 16,795.61/156.88
  6. Step 6: Final answer
    x = 107.06

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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.