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Finding the Fourth Proportional to 130.69, 180.47 and 98.06

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Solution

The fourth proportional to 130.69, 180.47 and 98.06 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 180.47 = 98.06 : x
  2. Step 2: Convert to fraction form
    130.69/180.47 = 98.06/x
  3. Step 3: Cross multiply
    130.69x = 180.47 × 98.06
  4. Step 4: Simplify right side
    130.69x = 17,696.40
  5. Step 5: Solve for x
    x = 17,696.40/130.69
  6. Step 6: Final answer
    x = 135.41

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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.