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Finding the Fourth Proportional to 142.61, 196.70 and 109.81

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Solution

The fourth proportional to 142.61, 196.70 and 109.81 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.61 : 196.70 = 109.81 : x
  2. Step 2: Convert to fraction form
    142.61/196.70 = 109.81/x
  3. Step 3: Cross multiply
    142.61x = 196.70 × 109.81
  4. Step 4: Simplify right side
    142.61x = 21,599.63
  5. Step 5: Solve for x
    x = 21,599.63/142.61
  6. Step 6: Final answer
    x = 151.46

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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.