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Finding the Fourth Proportional to 113.76, 169.86 and 102.36

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Solution

The fourth proportional to 113.76, 169.86 and 102.36 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 169.86 = 102.36 : x
  2. Step 2: Convert to fraction form
    113.76/169.86 = 102.36/x
  3. Step 3: Cross multiply
    113.76x = 169.86 × 102.36
  4. Step 4: Simplify right side
    113.76x = 17,386.87
  5. Step 5: Solve for x
    x = 17,386.87/113.76
  6. Step 6: Final answer
    x = 152.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.