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Finding the Fourth Proportional to 108.64, 163.72 and 101.80

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Solution

The fourth proportional to 108.64, 163.72 and 101.80 is: 153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 163.72 = 101.80 : x
  2. Step 2: Convert to fraction form
    108.64/163.72 = 101.80/x
  3. Step 3: Cross multiply
    108.64x = 163.72 × 101.80
  4. Step 4: Simplify right side
    108.64x = 16,666.19
  5. Step 5: Solve for x
    x = 16,666.19/108.64
  6. Step 6: Final answer
    x = 153.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.