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Finding the Fourth Proportional to 113.68, 157.22 and 100.74

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Solution

The fourth proportional to 113.68, 157.22 and 100.74 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 157.22 = 100.74 : x
  2. Step 2: Convert to fraction form
    113.68/157.22 = 100.74/x
  3. Step 3: Cross multiply
    113.68x = 157.22 × 100.74
  4. Step 4: Simplify right side
    113.68x = 15,838.34
  5. Step 5: Solve for x
    x = 15,838.34/113.68
  6. Step 6: Final answer
    x = 139.32

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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.