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Finding the Fourth Proportional to 114.25, 157.66 and 64.45

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Solution

The fourth proportional to 114.25, 157.66 and 64.45 is: 88.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.25 : 157.66 = 64.45 : x
  2. Step 2: Convert to fraction form
    114.25/157.66 = 64.45/x
  3. Step 3: Cross multiply
    114.25x = 157.66 × 64.45
  4. Step 4: Simplify right side
    114.25x = 10,161.19
  5. Step 5: Solve for x
    x = 10,161.19/114.25
  6. Step 6: Final answer
    x = 88.94

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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.