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Finding the Fourth Proportional to 119.07, 176.58 and 117.45

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Solution

The fourth proportional to 119.07, 176.58 and 117.45 is: 174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 176.58 = 117.45 : x
  2. Step 2: Convert to fraction form
    119.07/176.58 = 117.45/x
  3. Step 3: Cross multiply
    119.07x = 176.58 × 117.45
  4. Step 4: Simplify right side
    119.07x = 20,739.32
  5. Step 5: Solve for x
    x = 20,739.32/119.07
  6. Step 6: Final answer
    x = 174.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.