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Finding the Fourth Proportional to 58.20, 86.54 and 56.32

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Solution

The fourth proportional to 58.20, 86.54 and 56.32 is: 83.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.20 : 86.54 = 56.32 : x
  2. Step 2: Convert to fraction form
    58.20/86.54 = 56.32/x
  3. Step 3: Cross multiply
    58.20x = 86.54 × 56.32
  4. Step 4: Simplify right side
    58.20x = 4,873.93
  5. Step 5: Solve for x
    x = 4,873.93/58.20
  6. Step 6: Final answer
    x = 83.74

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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.