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Finding the Fourth Proportional to 58.16, 80.22 and 46.52

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Solution

The fourth proportional to 58.16, 80.22 and 46.52 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 80.22 = 46.52 : x
  2. Step 2: Convert to fraction form
    58.16/80.22 = 46.52/x
  3. Step 3: Cross multiply
    58.16x = 80.22 × 46.52
  4. Step 4: Simplify right side
    58.16x = 3,731.83
  5. Step 5: Solve for x
    x = 3,731.83/58.16
  6. Step 6: Final answer
    x = 64.16

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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.