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Finding the Fourth Proportional to 91.32, 137.03 and 45.65

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Solution

The fourth proportional to 91.32, 137.03 and 45.65 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 137.03 = 45.65 : x
  2. Step 2: Convert to fraction form
    91.32/137.03 = 45.65/x
  3. Step 3: Cross multiply
    91.32x = 137.03 × 45.65
  4. Step 4: Simplify right side
    91.32x = 6,254.51
  5. Step 5: Solve for x
    x = 6,254.51/91.32
  6. Step 6: Final answer
    x = 68.49

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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.