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Finding the Fourth Proportional to 116.51, 174.70 and 65.19

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Solution

The fourth proportional to 116.51, 174.70 and 65.19 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.51 : 174.70 = 65.19 : x
  2. Step 2: Convert to fraction form
    116.51/174.70 = 65.19/x
  3. Step 3: Cross multiply
    116.51x = 174.70 × 65.19
  4. Step 4: Simplify right side
    116.51x = 11,388.12
  5. Step 5: Solve for x
    x = 11,388.12/116.51
  6. Step 6: Final answer
    x = 97.74

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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.