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Finding the Fourth Proportional to 114.19, 157.54 and 69.91

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Solution

The fourth proportional to 114.19, 157.54 and 69.91 is: 96.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 157.54 = 69.91 : x
  2. Step 2: Convert to fraction form
    114.19/157.54 = 69.91/x
  3. Step 3: Cross multiply
    114.19x = 157.54 × 69.91
  4. Step 4: Simplify right side
    114.19x = 11,013.62
  5. Step 5: Solve for x
    x = 11,013.62/114.19
  6. Step 6: Final answer
    x = 96.45

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