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Finding the Fourth Proportional to 149.64, 224.51 and 58.31

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Solution

The fourth proportional to 149.64, 224.51 and 58.31 is: 87.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 224.51 = 58.31 : x
  2. Step 2: Convert to fraction form
    149.64/224.51 = 58.31/x
  3. Step 3: Cross multiply
    149.64x = 224.51 × 58.31
  4. Step 4: Simplify right side
    149.64x = 13,089.76
  5. Step 5: Solve for x
    x = 13,089.76/149.64
  6. Step 6: Final answer
    x = 87.48

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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.