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Finding the Fourth Proportional to 130.70, 180.54 and 104.64

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Solution

The fourth proportional to 130.70, 180.54 and 104.64 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.70 : 180.54 = 104.64 : x
  2. Step 2: Convert to fraction form
    130.70/180.54 = 104.64/x
  3. Step 3: Cross multiply
    130.70x = 180.54 × 104.64
  4. Step 4: Simplify right side
    130.70x = 18,892.10
  5. Step 5: Solve for x
    x = 18,892.10/130.70
  6. Step 6: Final answer
    x = 144.55

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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.