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Finding the Fourth Proportional to 172.30, 258.42 and 64.06

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Solution

The fourth proportional to 172.30, 258.42 and 64.06 is: 96.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 258.42 = 64.06 : x
  2. Step 2: Convert to fraction form
    172.30/258.42 = 64.06/x
  3. Step 3: Cross multiply
    172.30x = 258.42 × 64.06
  4. Step 4: Simplify right side
    172.30x = 16,554.39
  5. Step 5: Solve for x
    x = 16,554.39/172.30
  6. Step 6: Final answer
    x = 96.08

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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.