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Finding the Fourth Proportional to 108.47, 163.06 and 87.07

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Solution

The fourth proportional to 108.47, 163.06 and 87.07 is: 130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.47 : 163.06 = 87.07 : x
  2. Step 2: Convert to fraction form
    108.47/163.06 = 87.07/x
  3. Step 3: Cross multiply
    108.47x = 163.06 × 87.07
  4. Step 4: Simplify right side
    108.47x = 14,197.63
  5. Step 5: Solve for x
    x = 14,197.63/108.47
  6. Step 6: Final answer
    x = 130.89

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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.