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Finding the Fourth Proportional to 116.64, 174.96 and 102.24

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Solution

The fourth proportional to 116.64, 174.96 and 102.24 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 174.96 = 102.24 : x
  2. Step 2: Convert to fraction form
    116.64/174.96 = 102.24/x
  3. Step 3: Cross multiply
    116.64x = 174.96 × 102.24
  4. Step 4: Simplify right side
    116.64x = 17,887.91
  5. Step 5: Solve for x
    x = 17,887.91/116.64
  6. Step 6: Final answer
    x = 153.36

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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.