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Finding the Fourth Proportional to 114.31, 157.74 and 65.19

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Solution

The fourth proportional to 114.31, 157.74 and 65.19 is: 89.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.31 : 157.74 = 65.19 : x
  2. Step 2: Convert to fraction form
    114.31/157.74 = 65.19/x
  3. Step 3: Cross multiply
    114.31x = 157.74 × 65.19
  4. Step 4: Simplify right side
    114.31x = 10,283.07
  5. Step 5: Solve for x
    x = 10,283.07/114.31
  6. Step 6: Final answer
    x = 89.96

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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.