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Finding the Fourth Proportional to 147.90, 221.83 and 86.98

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Solution

The fourth proportional to 147.90, 221.83 and 86.98 is: 130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.90 : 221.83 = 86.98 : x
  2. Step 2: Convert to fraction form
    147.90/221.83 = 86.98/x
  3. Step 3: Cross multiply
    147.90x = 221.83 × 86.98
  4. Step 4: Simplify right side
    147.90x = 19,294.77
  5. Step 5: Solve for x
    x = 19,294.77/147.90
  6. Step 6: Final answer
    x = 130.46

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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.