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Finding the Fourth Proportional to 172.58, 258.90 and 57.02

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Solution

The fourth proportional to 172.58, 258.90 and 57.02 is: 85.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.58 : 258.90 = 57.02 : x
  2. Step 2: Convert to fraction form
    172.58/258.90 = 57.02/x
  3. Step 3: Cross multiply
    172.58x = 258.90 × 57.02
  4. Step 4: Simplify right side
    172.58x = 14,762.48
  5. Step 5: Solve for x
    x = 14,762.48/172.58
  6. Step 6: Final answer
    x = 85.54

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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.