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Finding the Fourth Proportional to 142.54, 196.59 and 105.64

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Solution

The fourth proportional to 142.54, 196.59 and 105.64 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.54 : 196.59 = 105.64 : x
  2. Step 2: Convert to fraction form
    142.54/196.59 = 105.64/x
  3. Step 3: Cross multiply
    142.54x = 196.59 × 105.64
  4. Step 4: Simplify right side
    142.54x = 20,767.77
  5. Step 5: Solve for x
    x = 20,767.77/142.54
  6. Step 6: Final answer
    x = 145.70

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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.