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Finding the Fourth Proportional to 114.07, 157.42 and 64.95

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Solution

The fourth proportional to 114.07, 157.42 and 64.95 is: 89.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.07 : 157.42 = 64.95 : x
  2. Step 2: Convert to fraction form
    114.07/157.42 = 64.95/x
  3. Step 3: Cross multiply
    114.07x = 157.42 × 64.95
  4. Step 4: Simplify right side
    114.07x = 10,224.43
  5. Step 5: Solve for x
    x = 10,224.43/114.07
  6. Step 6: Final answer
    x = 89.63

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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.