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Finding the Fourth Proportional to 102.22, 153.34 and 56.59

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Solution

The fourth proportional to 102.22, 153.34 and 56.59 is: 84.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.22 : 153.34 = 56.59 : x
  2. Step 2: Convert to fraction form
    102.22/153.34 = 56.59/x
  3. Step 3: Cross multiply
    102.22x = 153.34 × 56.59
  4. Step 4: Simplify right side
    102.22x = 8,677.51
  5. Step 5: Solve for x
    x = 8,677.51/102.22
  6. Step 6: Final answer
    x = 84.89

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Why These Related Problems?

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