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Finding the Fourth Proportional to 156.86, 235.34 and 48.65

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Solution

The fourth proportional to 156.86, 235.34 and 48.65 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 235.34 = 48.65 : x
  2. Step 2: Convert to fraction form
    156.86/235.34 = 48.65/x
  3. Step 3: Cross multiply
    156.86x = 235.34 × 48.65
  4. Step 4: Simplify right side
    156.86x = 11,449.29
  5. Step 5: Solve for x
    x = 11,449.29/156.86
  6. Step 6: Final answer
    x = 72.99

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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.