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Finding the Fourth Proportional to 130.23, 196.07 and 117

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Solution

The fourth proportional to 130.23, 196.07 and 117 is: 176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.23 : 196.07 = 117 : x
  2. Step 2: Convert to fraction form
    130.23/196.07 = 117/x
  3. Step 3: Cross multiply
    130.23x = 196.07 × 117
  4. Step 4: Simplify right side
    130.23x = 22,939.61
  5. Step 5: Solve for x
    x = 22,939.61/130.23
  6. Step 6: Final answer
    x = 176.15

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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.