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Finding the Fourth Proportional to 130.32, 194.65 and 117.95

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Solution

The fourth proportional to 130.32, 194.65 and 117.95 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 194.65 = 117.95 : x
  2. Step 2: Convert to fraction form
    130.32/194.65 = 117.95/x
  3. Step 3: Cross multiply
    130.32x = 194.65 × 117.95
  4. Step 4: Simplify right side
    130.32x = 22,958.29
  5. Step 5: Solve for x
    x = 22,958.29/130.32
  6. Step 6: Final answer
    x = 176.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.