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Finding the Fourth Proportional to 129.03, 178.05 and 76.58

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Solution

The fourth proportional to 129.03, 178.05 and 76.58 is: 105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 178.05 = 76.58 : x
  2. Step 2: Convert to fraction form
    129.03/178.05 = 76.58/x
  3. Step 3: Cross multiply
    129.03x = 178.05 × 76.58
  4. Step 4: Simplify right side
    129.03x = 13,635.07
  5. Step 5: Solve for x
    x = 13,635.07/129.03
  6. Step 6: Final answer
    x = 105.67

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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.