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Finding the Fourth Proportional to 58.57, 87.47 and 46.42

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Solution

The fourth proportional to 58.57, 87.47 and 46.42 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.57 : 87.47 = 46.42 : x
  2. Step 2: Convert to fraction form
    58.57/87.47 = 46.42/x
  3. Step 3: Cross multiply
    58.57x = 87.47 × 46.42
  4. Step 4: Simplify right side
    58.57x = 4,060.36
  5. Step 5: Solve for x
    x = 4,060.36/58.57
  6. Step 6: Final answer
    x = 69.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.