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Finding the Fourth Proportional to 130.76, 180.28 and 98.08

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Solution

The fourth proportional to 130.76, 180.28 and 98.08 is: 135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.76 : 180.28 = 98.08 : x
  2. Step 2: Convert to fraction form
    130.76/180.28 = 98.08/x
  3. Step 3: Cross multiply
    130.76x = 180.28 × 98.08
  4. Step 4: Simplify right side
    130.76x = 17,681.86
  5. Step 5: Solve for x
    x = 17,681.86/130.76
  6. Step 6: Final answer
    x = 135.22

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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.