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Finding the Fourth Proportional to 142.78, 197.04 and 90.34

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Solution

The fourth proportional to 142.78, 197.04 and 90.34 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 197.04 = 90.34 : x
  2. Step 2: Convert to fraction form
    142.78/197.04 = 90.34/x
  3. Step 3: Cross multiply
    142.78x = 197.04 × 90.34
  4. Step 4: Simplify right side
    142.78x = 17,800.59
  5. Step 5: Solve for x
    x = 17,800.59/142.78
  6. Step 6: Final answer
    x = 124.67

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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.