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Finding the Fourth Proportional to 130.51, 195.86 and 98.07

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Solution

The fourth proportional to 130.51, 195.86 and 98.07 is: 147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 195.86 = 98.07 : x
  2. Step 2: Convert to fraction form
    130.51/195.86 = 98.07/x
  3. Step 3: Cross multiply
    130.51x = 195.86 × 98.07
  4. Step 4: Simplify right side
    130.51x = 19,208.81
  5. Step 5: Solve for x
    x = 19,208.81/130.51
  6. Step 6: Final answer
    x = 147.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.