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Finding the Fourth Proportional to 32.64, 48.84 and 30.40

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Solution

The fourth proportional to 32.64, 48.84 and 30.40 is: 45.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.64 : 48.84 = 30.40 : x
  2. Step 2: Convert to fraction form
    32.64/48.84 = 30.40/x
  3. Step 3: Cross multiply
    32.64x = 48.84 × 30.40
  4. Step 4: Simplify right side
    32.64x = 1,484.74
  5. Step 5: Solve for x
    x = 1,484.74/32.64
  6. Step 6: Final answer
    x = 45.49

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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.