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Finding the Fourth Proportional to 172.42, 258.47 and 64.13

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Solution

The fourth proportional to 172.42, 258.47 and 64.13 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.42 : 258.47 = 64.13 : x
  2. Step 2: Convert to fraction form
    172.42/258.47 = 64.13/x
  3. Step 3: Cross multiply
    172.42x = 258.47 × 64.13
  4. Step 4: Simplify right side
    172.42x = 16,574.07
  5. Step 5: Solve for x
    x = 16,574.07/172.42
  6. Step 6: Final answer
    x = 96.13

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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.