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Finding the Fourth Proportional to 113.65, 156.72 and 92.86

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Solution

The fourth proportional to 113.65, 156.72 and 92.86 is: 128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.65 : 156.72 = 92.86 : x
  2. Step 2: Convert to fraction form
    113.65/156.72 = 92.86/x
  3. Step 3: Cross multiply
    113.65x = 156.72 × 92.86
  4. Step 4: Simplify right side
    113.65x = 14,552.45
  5. Step 5: Solve for x
    x = 14,552.45/113.65
  6. Step 6: Final answer
    x = 128.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.