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Finding the Fourth Proportional to 91.02, 125.64 and 52.23

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Solution

The fourth proportional to 91.02, 125.64 and 52.23 is: 72.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 125.64 = 52.23 : x
  2. Step 2: Convert to fraction form
    91.02/125.64 = 52.23/x
  3. Step 3: Cross multiply
    91.02x = 125.64 × 52.23
  4. Step 4: Simplify right side
    91.02x = 6,562.18
  5. Step 5: Solve for x
    x = 6,562.18/91.02
  6. Step 6: Final answer
    x = 72.10

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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.