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Finding the Fourth Proportional to 42.40, 58.48 and 40.78

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Solution

The fourth proportional to 42.40, 58.48 and 40.78 is: 56.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 58.48 = 40.78 : x
  2. Step 2: Convert to fraction form
    42.40/58.48 = 40.78/x
  3. Step 3: Cross multiply
    42.40x = 58.48 × 40.78
  4. Step 4: Simplify right side
    42.40x = 2,384.81
  5. Step 5: Solve for x
    x = 2,384.81/42.40
  6. Step 6: Final answer
    x = 56.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.