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Finding the Fourth Proportional to 130.74, 180.51 and 106.23

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Solution

The fourth proportional to 130.74, 180.51 and 106.23 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.74 : 180.51 = 106.23 : x
  2. Step 2: Convert to fraction form
    130.74/180.51 = 106.23/x
  3. Step 3: Cross multiply
    130.74x = 180.51 × 106.23
  4. Step 4: Simplify right side
    130.74x = 19,175.58
  5. Step 5: Solve for x
    x = 19,175.58/130.74
  6. Step 6: Final answer
    x = 146.67

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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.