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Finding the Fourth Proportional to 114.47, 171.70 and 90.44

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Solution

The fourth proportional to 114.47, 171.70 and 90.44 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 171.70 = 90.44 : x
  2. Step 2: Convert to fraction form
    114.47/171.70 = 90.44/x
  3. Step 3: Cross multiply
    114.47x = 171.70 × 90.44
  4. Step 4: Simplify right side
    114.47x = 15,528.55
  5. Step 5: Solve for x
    x = 15,528.55/114.47
  6. Step 6: Final answer
    x = 135.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.