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Finding the Fourth Proportional to 114.14, 157.51 and 64.99

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Solution

The fourth proportional to 114.14, 157.51 and 64.99 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 157.51 = 64.99 : x
  2. Step 2: Convert to fraction form
    114.14/157.51 = 64.99/x
  3. Step 3: Cross multiply
    114.14x = 157.51 × 64.99
  4. Step 4: Simplify right side
    114.14x = 10,236.02
  5. Step 5: Solve for x
    x = 10,236.02/114.14
  6. Step 6: Final answer
    x = 89.68

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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.