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Finding the Fourth Proportional to 60.51, 90.78 and 56.46

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Solution

The fourth proportional to 60.51, 90.78 and 56.46 is: 84.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.51 : 90.78 = 56.46 : x
  2. Step 2: Convert to fraction form
    60.51/90.78 = 56.46/x
  3. Step 3: Cross multiply
    60.51x = 90.78 × 56.46
  4. Step 4: Simplify right side
    60.51x = 5,125.44
  5. Step 5: Solve for x
    x = 5,125.44/60.51
  6. Step 6: Final answer
    x = 84.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.