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Finding the Fourth Proportional to 45.65, 68.50 and 24.00

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Solution

The fourth proportional to 45.65, 68.50 and 24.00 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.65 : 68.50 = 24.00 : x
  2. Step 2: Convert to fraction form
    45.65/68.50 = 24.00/x
  3. Step 3: Cross multiply
    45.65x = 68.50 × 24.00
  4. Step 4: Simplify right side
    45.65x = 1,643.84
  5. Step 5: Solve for x
    x = 1,643.84/45.65
  6. Step 6: Final answer
    x = 36.01

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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.