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Finding the Fourth Proportional to 130.24, 196.05 and 117

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Solution

The fourth proportional to 130.24, 196.05 and 117 is: 176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.24 : 196.05 = 117 : x
  2. Step 2: Convert to fraction form
    130.24/196.05 = 117/x
  3. Step 3: Cross multiply
    130.24x = 196.05 × 117
  4. Step 4: Simplify right side
    130.24x = 22,937.85
  5. Step 5: Solve for x
    x = 22,937.85/130.24
  6. Step 6: Final answer
    x = 176.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.