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Finding the Fourth Proportional to 124.34, 186.64 and 90.11

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Solution

The fourth proportional to 124.34, 186.64 and 90.11 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.34 : 186.64 = 90.11 : x
  2. Step 2: Convert to fraction form
    124.34/186.64 = 90.11/x
  3. Step 3: Cross multiply
    124.34x = 186.64 × 90.11
  4. Step 4: Simplify right side
    124.34x = 16,818.37
  5. Step 5: Solve for x
    x = 16,818.37/124.34
  6. Step 6: Final answer
    x = 135.27

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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.