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Finding the Fourth Proportional to 113.50, 156.75 and 78.94

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Solution

The fourth proportional to 113.50, 156.75 and 78.94 is: 109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 156.75 = 78.94 : x
  2. Step 2: Convert to fraction form
    113.50/156.75 = 78.94/x
  3. Step 3: Cross multiply
    113.50x = 156.75 × 78.94
  4. Step 4: Simplify right side
    113.50x = 12,373.85
  5. Step 5: Solve for x
    x = 12,373.85/113.50
  6. Step 6: Final answer
    x = 109.02

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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.