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Finding the Fourth Proportional to 130.90, 180.81 and 106.64

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Solution

The fourth proportional to 130.90, 180.81 and 106.64 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.90 : 180.81 = 106.64 : x
  2. Step 2: Convert to fraction form
    130.90/180.81 = 106.64/x
  3. Step 3: Cross multiply
    130.90x = 180.81 × 106.64
  4. Step 4: Simplify right side
    130.90x = 19,281.58
  5. Step 5: Solve for x
    x = 19,281.58/130.90
  6. Step 6: Final answer
    x = 147.31

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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.