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Finding the Fourth Proportional to 92.58, 138.79 and 56.58

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Solution

The fourth proportional to 92.58, 138.79 and 56.58 is: 84.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.58 : 138.79 = 56.58 : x
  2. Step 2: Convert to fraction form
    92.58/138.79 = 56.58/x
  3. Step 3: Cross multiply
    92.58x = 138.79 × 56.58
  4. Step 4: Simplify right side
    92.58x = 7,852.74
  5. Step 5: Solve for x
    x = 7,852.74/92.58
  6. Step 6: Final answer
    x = 84.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.