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Finding the Fourth Proportional to 116.18, 174.66 and 102.02

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Solution

The fourth proportional to 116.18, 174.66 and 102.02 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.18 : 174.66 = 102.02 : x
  2. Step 2: Convert to fraction form
    116.18/174.66 = 102.02/x
  3. Step 3: Cross multiply
    116.18x = 174.66 × 102.02
  4. Step 4: Simplify right side
    116.18x = 17,818.81
  5. Step 5: Solve for x
    x = 17,818.81/116.18
  6. Step 6: Final answer
    x = 153.37

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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.