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Finding the Fourth Proportional to 111.25, 152.86 and 90.47

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Solution

The fourth proportional to 111.25, 152.86 and 90.47 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.25 : 152.86 = 90.47 : x
  2. Step 2: Convert to fraction form
    111.25/152.86 = 90.47/x
  3. Step 3: Cross multiply
    111.25x = 152.86 × 90.47
  4. Step 4: Simplify right side
    111.25x = 13,829.24
  5. Step 5: Solve for x
    x = 13,829.24/111.25
  6. Step 6: Final answer
    x = 124.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.