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Finding the Fourth Proportional to 90.90, 125.12 and 64.98

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Solution

The fourth proportional to 90.90, 125.12 and 64.98 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.90 : 125.12 = 64.98 : x
  2. Step 2: Convert to fraction form
    90.90/125.12 = 64.98/x
  3. Step 3: Cross multiply
    90.90x = 125.12 × 64.98
  4. Step 4: Simplify right side
    90.90x = 8,130.30
  5. Step 5: Solve for x
    x = 8,130.30/90.90
  6. Step 6: Final answer
    x = 89.44

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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.