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Finding the Fourth Proportional to 173.16, 259.80 and 101.06

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Solution

The fourth proportional to 173.16, 259.80 and 101.06 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.16 : 259.80 = 101.06 : x
  2. Step 2: Convert to fraction form
    173.16/259.80 = 101.06/x
  3. Step 3: Cross multiply
    173.16x = 259.80 × 101.06
  4. Step 4: Simplify right side
    173.16x = 26,255.39
  5. Step 5: Solve for x
    x = 26,255.39/173.16
  6. Step 6: Final answer
    x = 151.63

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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.