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Finding the Fourth Proportional to 114.10, 170.98 and 53.21

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Solution

The fourth proportional to 114.10, 170.98 and 53.21 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 170.98 = 53.21 : x
  2. Step 2: Convert to fraction form
    114.10/170.98 = 53.21/x
  3. Step 3: Cross multiply
    114.10x = 170.98 × 53.21
  4. Step 4: Simplify right side
    114.10x = 9,098.14
  5. Step 5: Solve for x
    x = 9,098.14/114.10
  6. Step 6: Final answer
    x = 79.74

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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.