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Finding the Fourth Proportional to 53.04, 79.65 and 42.84

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Solution

The fourth proportional to 53.04, 79.65 and 42.84 is: 64.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.04 : 79.65 = 42.84 : x
  2. Step 2: Convert to fraction form
    53.04/79.65 = 42.84/x
  3. Step 3: Cross multiply
    53.04x = 79.65 × 42.84
  4. Step 4: Simplify right side
    53.04x = 3,412.21
  5. Step 5: Solve for x
    x = 3,412.21/53.04
  6. Step 6: Final answer
    x = 64.33

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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.