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Finding the Fourth Proportional to 130.41, 180 and 105.90

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Solution

The fourth proportional to 130.41, 180 and 105.90 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 180 = 105.90 : x
  2. Step 2: Convert to fraction form
    130.41/180 = 105.90/x
  3. Step 3: Cross multiply
    130.41x = 180 × 105.90
  4. Step 4: Simplify right side
    130.41x = 19,062
  5. Step 5: Solve for x
    x = 19,062/130.41
  6. Step 6: Final answer
    x = 146.17

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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.