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Finding the Fourth Proportional to 117.19, 176.48 and 102.15

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Solution

The fourth proportional to 117.19, 176.48 and 102.15 is: 153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 176.48 = 102.15 : x
  2. Step 2: Convert to fraction form
    117.19/176.48 = 102.15/x
  3. Step 3: Cross multiply
    117.19x = 176.48 × 102.15
  4. Step 4: Simplify right side
    117.19x = 18,028.23
  5. Step 5: Solve for x
    x = 18,028.23/117.19
  6. Step 6: Final answer
    x = 153.84

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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.