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Finding the Fourth Proportional to 172.51, 258.55 and 90.16

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Solution

The fourth proportional to 172.51, 258.55 and 90.16 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.51 : 258.55 = 90.16 : x
  2. Step 2: Convert to fraction form
    172.51/258.55 = 90.16/x
  3. Step 3: Cross multiply
    172.51x = 258.55 × 90.16
  4. Step 4: Simplify right side
    172.51x = 23,310.87
  5. Step 5: Solve for x
    x = 23,310.87/172.51
  6. Step 6: Final answer
    x = 135.13

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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.