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Finding the Fourth Proportional to 114.47, 157.59 and 96.02

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Solution

The fourth proportional to 114.47, 157.59 and 96.02 is: 132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 157.59 = 96.02 : x
  2. Step 2: Convert to fraction form
    114.47/157.59 = 96.02/x
  3. Step 3: Cross multiply
    114.47x = 157.59 × 96.02
  4. Step 4: Simplify right side
    114.47x = 15,131.00
  5. Step 5: Solve for x
    x = 15,131.00/114.47
  6. Step 6: Final answer
    x = 132.19

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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.