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Finding the Fourth Proportional to 117.74, 176.40 and 102.35

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Solution

The fourth proportional to 117.74, 176.40 and 102.35 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.74 : 176.40 = 102.35 : x
  2. Step 2: Convert to fraction form
    117.74/176.40 = 102.35/x
  3. Step 3: Cross multiply
    117.74x = 176.40 × 102.35
  4. Step 4: Simplify right side
    117.74x = 18,053.66
  5. Step 5: Solve for x
    x = 18,053.66/117.74
  6. Step 6: Final answer
    x = 153.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.