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Finding the Fourth Proportional to 58.68, 80.87 and 56.93

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Solution

The fourth proportional to 58.68, 80.87 and 56.93 is: 78.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.68 : 80.87 = 56.93 : x
  2. Step 2: Convert to fraction form
    58.68/80.87 = 56.93/x
  3. Step 3: Cross multiply
    58.68x = 80.87 × 56.93
  4. Step 4: Simplify right side
    58.68x = 4,603.24
  5. Step 5: Solve for x
    x = 4,603.24/58.68
  6. Step 6: Final answer
    x = 78.45

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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.