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Finding the Fourth Proportional to 142.48, 196.59 and 130.17

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Solution

The fourth proportional to 142.48, 196.59 and 130.17 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 196.59 = 130.17 : x
  2. Step 2: Convert to fraction form
    142.48/196.59 = 130.17/x
  3. Step 3: Cross multiply
    142.48x = 196.59 × 130.17
  4. Step 4: Simplify right side
    142.48x = 25,590.12
  5. Step 5: Solve for x
    x = 25,590.12/142.48
  6. Step 6: Final answer
    x = 179.60

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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.