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Finding the Fourth Proportional to 130.77, 180.47 and 97.96

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Solution

The fourth proportional to 130.77, 180.47 and 97.96 is: 135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.77 : 180.47 = 97.96 : x
  2. Step 2: Convert to fraction form
    130.77/180.47 = 97.96/x
  3. Step 3: Cross multiply
    130.77x = 180.47 × 97.96
  4. Step 4: Simplify right side
    130.77x = 17,678.84
  5. Step 5: Solve for x
    x = 17,678.84/130.77
  6. Step 6: Final answer
    x = 135.19

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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.