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Finding the Fourth Proportional to 55, 82.51 and 32.16

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Solution

The fourth proportional to 55, 82.51 and 32.16 is: 48.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 82.51 = 32.16 : x
  2. Step 2: Convert to fraction form
    55/82.51 = 32.16/x
  3. Step 3: Cross multiply
    55x = 82.51 × 32.16
  4. Step 4: Simplify right side
    55x = 2,653.52
  5. Step 5: Solve for x
    x = 2,653.52/55
  6. Step 6: Final answer
    x = 48.25

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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.