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Finding the Fourth Proportional to 114.22, 157.74 and 85.06

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Solution

The fourth proportional to 114.22, 157.74 and 85.06 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 157.74 = 85.06 : x
  2. Step 2: Convert to fraction form
    114.22/157.74 = 85.06/x
  3. Step 3: Cross multiply
    114.22x = 157.74 × 85.06
  4. Step 4: Simplify right side
    114.22x = 13,417.36
  5. Step 5: Solve for x
    x = 13,417.36/114.22
  6. Step 6: Final answer
    x = 117.47

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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.