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Finding the Fourth Proportional to 113.68, 156.81 and 76.77

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Solution

The fourth proportional to 113.68, 156.81 and 76.77 is: 105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 156.81 = 76.77 : x
  2. Step 2: Convert to fraction form
    113.68/156.81 = 76.77/x
  3. Step 3: Cross multiply
    113.68x = 156.81 × 76.77
  4. Step 4: Simplify right side
    113.68x = 12,038.82
  5. Step 5: Solve for x
    x = 12,038.82/113.68
  6. Step 6: Final answer
    x = 105.90

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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.