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Finding the Fourth Proportional to 96.90, 145.32 and 48.75

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Solution

The fourth proportional to 96.90, 145.32 and 48.75 is: 73.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 145.32 = 48.75 : x
  2. Step 2: Convert to fraction form
    96.90/145.32 = 48.75/x
  3. Step 3: Cross multiply
    96.90x = 145.32 × 48.75
  4. Step 4: Simplify right side
    96.90x = 7,084.35
  5. Step 5: Solve for x
    x = 7,084.35/96.90
  6. Step 6: Final answer
    x = 73.11

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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.