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Finding the Fourth Proportional to 142.32, 196.34 and 100.86

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Solution

The fourth proportional to 142.32, 196.34 and 100.86 is: 139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 196.34 = 100.86 : x
  2. Step 2: Convert to fraction form
    142.32/196.34 = 100.86/x
  3. Step 3: Cross multiply
    142.32x = 196.34 × 100.86
  4. Step 4: Simplify right side
    142.32x = 19,802.35
  5. Step 5: Solve for x
    x = 19,802.35/142.32
  6. Step 6: Final answer
    x = 139.14

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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.