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Finding the Fourth Proportional to 114.25, 157.71 and 69.99

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Solution

The fourth proportional to 114.25, 157.71 and 69.99 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.25 : 157.71 = 69.99 : x
  2. Step 2: Convert to fraction form
    114.25/157.71 = 69.99/x
  3. Step 3: Cross multiply
    114.25x = 157.71 × 69.99
  4. Step 4: Simplify right side
    114.25x = 11,038.12
  5. Step 5: Solve for x
    x = 11,038.12/114.25
  6. Step 6: Final answer
    x = 96.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.