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Finding the Fourth Proportional to 92.90, 128.21 and 56.06

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Solution

The fourth proportional to 92.90, 128.21 and 56.06 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 128.21 = 56.06 : x
  2. Step 2: Convert to fraction form
    92.90/128.21 = 56.06/x
  3. Step 3: Cross multiply
    92.90x = 128.21 × 56.06
  4. Step 4: Simplify right side
    92.90x = 7,187.79
  5. Step 5: Solve for x
    x = 7,187.79/92.90
  6. Step 6: Final answer
    x = 77.37

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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.