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Finding the Fourth Proportional to 172.81, 259.03 and 86.02

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Solution

The fourth proportional to 172.81, 259.03 and 86.02 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 259.03 = 86.02 : x
  2. Step 2: Convert to fraction form
    172.81/259.03 = 86.02/x
  3. Step 3: Cross multiply
    172.81x = 259.03 × 86.02
  4. Step 4: Simplify right side
    172.81x = 22,281.22
  5. Step 5: Solve for x
    x = 22,281.22/172.81
  6. Step 6: Final answer
    x = 128.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.