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Finding the Fourth Proportional to 55.35, 82.80 and 38.16

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Solution

The fourth proportional to 55.35, 82.80 and 38.16 is: 57.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.35 : 82.80 = 38.16 : x
  2. Step 2: Convert to fraction form
    55.35/82.80 = 38.16/x
  3. Step 3: Cross multiply
    55.35x = 82.80 × 38.16
  4. Step 4: Simplify right side
    55.35x = 3,159.65
  5. Step 5: Solve for x
    x = 3,159.65/55.35
  6. Step 6: Final answer
    x = 57.08

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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.