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Finding the Fourth Proportional to 58.03, 86.62 and 57.46

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Solution

The fourth proportional to 58.03, 86.62 and 57.46 is: 85.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.03 : 86.62 = 57.46 : x
  2. Step 2: Convert to fraction form
    58.03/86.62 = 57.46/x
  3. Step 3: Cross multiply
    58.03x = 86.62 × 57.46
  4. Step 4: Simplify right side
    58.03x = 4,977.19
  5. Step 5: Solve for x
    x = 4,977.19/58.03
  6. Step 6: Final answer
    x = 85.77

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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.