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Finding the Fourth Proportional to 58.05, 80.10 and 38.64

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Solution

The fourth proportional to 58.05, 80.10 and 38.64 is: 53.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.05 : 80.10 = 38.64 : x
  2. Step 2: Convert to fraction form
    58.05/80.10 = 38.64/x
  3. Step 3: Cross multiply
    58.05x = 80.10 × 38.64
  4. Step 4: Simplify right side
    58.05x = 3,095.06
  5. Step 5: Solve for x
    x = 3,095.06/58.05
  6. Step 6: Final answer
    x = 53.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.