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Finding the Fourth Proportional to 32.16, 48.15 and 24.01

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Solution

The fourth proportional to 32.16, 48.15 and 24.01 is: 35.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.16 : 48.15 = 24.01 : x
  2. Step 2: Convert to fraction form
    32.16/48.15 = 24.01/x
  3. Step 3: Cross multiply
    32.16x = 48.15 × 24.01
  4. Step 4: Simplify right side
    32.16x = 1,156.08
  5. Step 5: Solve for x
    x = 1,156.08/32.16
  6. Step 6: Final answer
    x = 35.95

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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.