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Finding the Fourth Proportional to 114.01, 170.96 and 65.25

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Solution

The fourth proportional to 114.01, 170.96 and 65.25 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.01 : 170.96 = 65.25 : x
  2. Step 2: Convert to fraction form
    114.01/170.96 = 65.25/x
  3. Step 3: Cross multiply
    114.01x = 170.96 × 65.25
  4. Step 4: Simplify right side
    114.01x = 11,154.81
  5. Step 5: Solve for x
    x = 11,154.81/114.01
  6. Step 6: Final answer
    x = 97.84

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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.