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Finding the Fourth Proportional to 58.77, 80.53 and 56.64

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Solution

The fourth proportional to 58.77, 80.53 and 56.64 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.77 : 80.53 = 56.64 : x
  2. Step 2: Convert to fraction form
    58.77/80.53 = 56.64/x
  3. Step 3: Cross multiply
    58.77x = 80.53 × 56.64
  4. Step 4: Simplify right side
    58.77x = 4,560.94
  5. Step 5: Solve for x
    x = 4,560.94/58.77
  6. Step 6: Final answer
    x = 77.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.