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Finding the Fourth Proportional to 117.78, 162.37 and 90.10

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Solution

The fourth proportional to 117.78, 162.37 and 90.10 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 162.37 = 90.10 : x
  2. Step 2: Convert to fraction form
    117.78/162.37 = 90.10/x
  3. Step 3: Cross multiply
    117.78x = 162.37 × 90.10
  4. Step 4: Simplify right side
    117.78x = 14,629.54
  5. Step 5: Solve for x
    x = 14,629.54/117.78
  6. Step 6: Final answer
    x = 124.21

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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.